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Finding the Fourth Proportional to 462,359, 693,538.50 and 129,935

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Solution

The fourth proportional to 462,359, 693,538.50 and 129,935 is: 194,902.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,359 : 693,538.50 = 129,935 : x
  2. Step 2: Convert to fraction form
    462,359/693,538.50 = 129,935/x
  3. Step 3: Cross multiply
    462,359x = 693,538.50 × 129,935
  4. Step 4: Simplify right side
    462,359x = 90,114,924,997.50
  5. Step 5: Solve for x
    x = 90,114,924,997.50/462,359
  6. Step 6: Final answer
    x = 194,902.50

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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.