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Finding the Fourth Proportional to 423,398.64, 634,913.24 and 123,872.80

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Solution

The fourth proportional to 423,398.64, 634,913.24 and 123,872.80 is: 185,755.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,398.64 : 634,913.24 = 123,872.80 : x
  2. Step 2: Convert to fraction form
    423,398.64/634,913.24 = 123,872.80/x
  3. Step 3: Cross multiply
    423,398.64x = 634,913.24 × 123,872.80
  4. Step 4: Simplify right side
    423,398.64x = 78,648,480,795.87
  5. Step 5: Solve for x
    x = 78,648,480,795.87/423,398.64
  6. Step 6: Final answer
    x = 185,755.16

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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.