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Finding the Fourth Proportional to 698,147.64, 963,547.92 and 426,371.85

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Solution

The fourth proportional to 698,147.64, 963,547.92 and 426,371.85 is: 588,456.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,147.64 : 963,547.92 = 426,371.85 : x
  2. Step 2: Convert to fraction form
    698,147.64/963,547.92 = 426,371.85/x
  3. Step 3: Cross multiply
    698,147.64x = 963,547.92 × 426,371.85
  4. Step 4: Simplify right side
    698,147.64x = 410,829,709,214.05
  5. Step 5: Solve for x
    x = 410,829,709,214.05/698,147.64
  6. Step 6: Final answer
    x = 588,456.78

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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.