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Finding the Fourth Proportional to 520,085.70, 780,128.55 and 470,319.30

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Solution

The fourth proportional to 520,085.70, 780,128.55 and 470,319.30 is: 705,478.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,085.70 : 780,128.55 = 470,319.30 : x
  2. Step 2: Convert to fraction form
    520,085.70/780,128.55 = 470,319.30/x
  3. Step 3: Cross multiply
    520,085.70x = 780,128.55 × 470,319.30
  4. Step 4: Simplify right side
    520,085.70x = 366,909,513,546.02
  5. Step 5: Solve for x
    x = 366,909,513,546.02/520,085.70
  6. Step 6: Final answer
    x = 705,478.95

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.