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Finding the Fourth Proportional to 423,058.43, 634,836.11 and 157,003.80

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Solution

The fourth proportional to 423,058.43, 634,836.11 and 157,003.80 is: 235,597.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,058.43 : 634,836.11 = 157,003.80 : x
  2. Step 2: Convert to fraction form
    423,058.43/634,836.11 = 157,003.80/x
  3. Step 3: Cross multiply
    423,058.43x = 634,836.11 × 157,003.80
  4. Step 4: Simplify right side
    423,058.43x = 99,671,680,862.20
  5. Step 5: Solve for x
    x = 99,671,680,862.20/423,058.43
  6. Step 6: Final answer
    x = 235,597.91

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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.