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Finding the Fourth Proportional to 465,892.70, 698,854.70 and 128,905.16

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Solution

The fourth proportional to 465,892.70, 698,854.70 and 128,905.16 is: 193,362.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,892.70 : 698,854.70 = 128,905.16 : x
  2. Step 2: Convert to fraction form
    465,892.70/698,854.70 = 128,905.16/x
  3. Step 3: Cross multiply
    465,892.70x = 698,854.70 × 128,905.16
  4. Step 4: Simplify right side
    465,892.70x = 90,085,978,022.86
  5. Step 5: Solve for x
    x = 90,085,978,022.86/465,892.70
  6. Step 6: Final answer
    x = 193,362.07

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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.