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Finding the Fourth Proportional to 520,269.16, 780,478.01 and 160,470.30

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Solution

The fourth proportional to 520,269.16, 780,478.01 and 160,470.30 is: 240,728.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,269.16 : 780,478.01 = 160,470.30 : x
  2. Step 2: Convert to fraction form
    520,269.16/780,478.01 = 160,470.30/x
  3. Step 3: Cross multiply
    520,269.16x = 780,478.01 × 160,470.30
  4. Step 4: Simplify right side
    520,269.16x = 125,243,540,408.10
  5. Step 5: Solve for x
    x = 125,243,540,408.10/520,269.16
  6. Step 6: Final answer
    x = 240,728.36

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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.