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Finding the Fourth Proportional to 465,878.23, 698,832.88 and 128,890.64

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Solution

The fourth proportional to 465,878.23, 698,832.88 and 128,890.64 is: 193,340.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,878.23 : 698,832.88 = 128,890.64 : x
  2. Step 2: Convert to fraction form
    465,878.23/698,832.88 = 128,890.64/x
  3. Step 3: Cross multiply
    465,878.23x = 698,832.88 × 128,890.64
  4. Step 4: Simplify right side
    465,878.23x = 90,073,018,581.10
  5. Step 5: Solve for x
    x = 90,073,018,581.10/465,878.23
  6. Step 6: Final answer
    x = 193,340.26

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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.