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Finding the Fourth Proportional to 520,584.30, 780,147.45 and 414,150.30

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Solution

The fourth proportional to 520,584.30, 780,147.45 and 414,150.30 is: 620,645.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,584.30 : 780,147.45 = 414,150.30 : x
  2. Step 2: Convert to fraction form
    520,584.30/780,147.45 = 414,150.30/x
  3. Step 3: Cross multiply
    520,584.30x = 780,147.45 × 414,150.30
  4. Step 4: Simplify right side
    520,584.30x = 323,098,300,461.74
  5. Step 5: Solve for x
    x = 323,098,300,461.74/520,584.30
  6. Step 6: Final answer
    x = 620,645.49

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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.