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Finding the Fourth Proportional to 698,759.71, 964,265.89 and 392,848.95

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Solution

The fourth proportional to 698,759.71, 964,265.89 and 392,848.95 is: 542,118.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,759.71 : 964,265.89 = 392,848.95 : x
  2. Step 2: Convert to fraction form
    698,759.71/964,265.89 = 392,848.95/x
  3. Step 3: Cross multiply
    698,759.71x = 964,265.89 × 392,848.95
  4. Step 4: Simplify right side
    698,759.71x = 378,810,842,407.32
  5. Step 5: Solve for x
    x = 378,810,842,407.32/698,759.71
  6. Step 6: Final answer
    x = 542,118.90

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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.