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Finding the Fourth Proportional to 537,877.80, 806,816.70 and 338,812.20

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Solution

The fourth proportional to 537,877.80, 806,816.70 and 338,812.20 is: 508,218.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,877.80 : 806,816.70 = 338,812.20 : x
  2. Step 2: Convert to fraction form
    537,877.80/806,816.70 = 338,812.20/x
  3. Step 3: Cross multiply
    537,877.80x = 806,816.70 × 338,812.20
  4. Step 4: Simplify right side
    537,877.80x = 273,359,341,123.74
  5. Step 5: Solve for x
    x = 273,359,341,123.74/537,877.80
  6. Step 6: Final answer
    x = 508,218.30

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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.