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Finding the Fourth Proportional to 542,020.71, 809,164.23 and 506,000.73

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Solution

The fourth proportional to 542,020.71, 809,164.23 and 506,000.73 is: 755,391.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,020.71 : 809,164.23 = 506,000.73 : x
  2. Step 2: Convert to fraction form
    542,020.71/809,164.23 = 506,000.73/x
  3. Step 3: Cross multiply
    542,020.71x = 809,164.23 × 506,000.73
  4. Step 4: Simplify right side
    542,020.71x = 409,437,691,069.89
  5. Step 5: Solve for x
    x = 409,437,691,069.89/542,020.71
  6. Step 6: Final answer
    x = 755,391.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.