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Finding the Fourth Proportional to 458,305.68, 687,294.48 and 158,705.82

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Solution

The fourth proportional to 458,305.68, 687,294.48 and 158,705.82 is: 238,001.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,305.68 : 687,294.48 = 158,705.82 : x
  2. Step 2: Convert to fraction form
    458,305.68/687,294.48 = 158,705.82/x
  3. Step 3: Cross multiply
    458,305.68x = 687,294.48 × 158,705.82
  4. Step 4: Simplify right side
    458,305.68x = 109,077,634,029.87
  5. Step 5: Solve for x
    x = 109,077,634,029.87/458,305.68
  6. Step 6: Final answer
    x = 238,001.92

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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.