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Finding the Fourth Proportional to 712,098.78, 982,697.56 and 389,809.08

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Solution

The fourth proportional to 712,098.78, 982,697.56 and 389,809.08 is: 537,937.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,098.78 : 982,697.56 = 389,809.08 : x
  2. Step 2: Convert to fraction form
    712,098.78/982,697.56 = 389,809.08/x
  3. Step 3: Cross multiply
    712,098.78x = 982,697.56 × 389,809.08
  4. Step 4: Simplify right side
    712,098.78x = 383,064,431,781.85
  5. Step 5: Solve for x
    x = 383,064,431,781.85/712,098.78
  6. Step 6: Final answer
    x = 537,937.21

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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.