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Finding the Fourth Proportional to 698,765, 964,289.90 and 392,842.74

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Solution

The fourth proportional to 698,765, 964,289.90 and 392,842.74 is: 542,119.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,765 : 964,289.90 = 392,842.74 : x
  2. Step 2: Convert to fraction form
    698,765/964,289.90 = 392,842.74/x
  3. Step 3: Cross multiply
    698,765x = 964,289.90 × 392,842.74
  4. Step 4: Simplify right side
    698,765x = 378,814,286,470.33
  5. Step 5: Solve for x
    x = 378,814,286,470.33/698,765
  6. Step 6: Final answer
    x = 542,119.72

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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.