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Finding the Fourth Proportional to 531,522, 797,285.88 and 137,538

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Solution

The fourth proportional to 531,522, 797,285.88 and 137,538 is: 206,307.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,522 : 797,285.88 = 137,538 : x
  2. Step 2: Convert to fraction form
    531,522/797,285.88 = 137,538/x
  3. Step 3: Cross multiply
    531,522x = 797,285.88 × 137,538
  4. Step 4: Simplify right side
    531,522x = 109,657,105,363.44
  5. Step 5: Solve for x
    x = 109,657,105,363.44/531,522
  6. Step 6: Final answer
    x = 206,307.75

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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.