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Finding the Fourth Proportional to 698,469.71, 964,151.52 and 408,175.52

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Solution

The fourth proportional to 698,469.71, 964,151.52 and 408,175.52 is: 563,436.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,469.71 : 964,151.52 = 408,175.52 : x
  2. Step 2: Convert to fraction form
    698,469.71/964,151.52 = 408,175.52/x
  3. Step 3: Cross multiply
    698,469.71x = 964,151.52 × 408,175.52
  4. Step 4: Simplify right side
    698,469.71x = 393,543,050,445.17
  5. Step 5: Solve for x
    x = 393,543,050,445.17/698,469.71
  6. Step 6: Final answer
    x = 563,436.11

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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.