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Finding the Fourth Proportional to 465,802.28, 698,664.46 and 128,847.09

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Solution

The fourth proportional to 465,802.28, 698,664.46 and 128,847.09 is: 193,259.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,802.28 : 698,664.46 = 128,847.09 : x
  2. Step 2: Convert to fraction form
    465,802.28/698,664.46 = 128,847.09/x
  3. Step 3: Cross multiply
    465,802.28x = 698,664.46 × 128,847.09
  4. Step 4: Simplify right side
    465,802.28x = 90,020,878,419.86
  5. Step 5: Solve for x
    x = 90,020,878,419.86/465,802.28
  6. Step 6: Final answer
    x = 193,259.85

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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.