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Finding the Fourth Proportional to 714,503.78, 985,978.50 and 424,127.59

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Solution

The fourth proportional to 714,503.78, 985,978.50 and 424,127.59 is: 585,274.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,503.78 : 985,978.50 = 424,127.59 : x
  2. Step 2: Convert to fraction form
    714,503.78/985,978.50 = 424,127.59/x
  3. Step 3: Cross multiply
    714,503.78x = 985,978.50 × 424,127.59
  4. Step 4: Simplify right side
    714,503.78x = 418,180,687,680.38
  5. Step 5: Solve for x
    x = 418,180,687,680.38/714,503.78
  6. Step 6: Final answer
    x = 585,274.28

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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.