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Finding the Fourth Proportional to 698,436, 963,841.68 and 380,484

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Solution

The fourth proportional to 698,436, 963,841.68 and 380,484 is: 525,067.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,436 : 963,841.68 = 380,484 : x
  2. Step 2: Convert to fraction form
    698,436/963,841.68 = 380,484/x
  3. Step 3: Cross multiply
    698,436x = 963,841.68 × 380,484
  4. Step 4: Simplify right side
    698,436x = 366,726,337,773.12
  5. Step 5: Solve for x
    x = 366,726,337,773.12/698,436
  6. Step 6: Final answer
    x = 525,067.92

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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.