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Finding the Fourth Proportional to 465,456.84, 698,171.34 and 128,518.12

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Solution

The fourth proportional to 465,456.84, 698,171.34 and 128,518.12 is: 192,773.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,456.84 : 698,171.34 = 128,518.12 : x
  2. Step 2: Convert to fraction form
    465,456.84/698,171.34 = 128,518.12/x
  3. Step 3: Cross multiply
    465,456.84x = 698,171.34 × 128,518.12
  4. Step 4: Simplify right side
    465,456.84x = 89,727,668,054.68
  5. Step 5: Solve for x
    x = 89,727,668,054.68/465,456.84
  6. Step 6: Final answer
    x = 192,773.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.