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Finding the Fourth Proportional to 530,281, 731,787.90 and 291,817

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Solution

The fourth proportional to 530,281, 731,787.90 and 291,817 is: 402,707.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,281 : 731,787.90 = 291,817 : x
  2. Step 2: Convert to fraction form
    530,281/731,787.90 = 291,817/x
  3. Step 3: Cross multiply
    530,281x = 731,787.90 × 291,817
  4. Step 4: Simplify right side
    530,281x = 213,548,149,614.30
  5. Step 5: Solve for x
    x = 213,548,149,614.30/530,281
  6. Step 6: Final answer
    x = 402,707.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.