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Finding the Fourth Proportional to 624,156, 861,452.10 and 355,884

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Solution

The fourth proportional to 624,156, 861,452.10 and 355,884 is: 491,186.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,156 : 861,452.10 = 355,884 : x
  2. Step 2: Convert to fraction form
    624,156/861,452.10 = 355,884/x
  3. Step 3: Cross multiply
    624,156x = 861,452.10 × 355,884
  4. Step 4: Simplify right side
    624,156x = 306,577,019,156.40
  5. Step 5: Solve for x
    x = 306,577,019,156.40/624,156
  6. Step 6: Final answer
    x = 491,186.53

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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.