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Finding the Fourth Proportional to 458,631.98, 687,978.30 and 121,667.90

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Solution

The fourth proportional to 458,631.98, 687,978.30 and 121,667.90 is: 182,509.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,631.98 : 687,978.30 = 121,667.90 : x
  2. Step 2: Convert to fraction form
    458,631.98/687,978.30 = 121,667.90/x
  3. Step 3: Cross multiply
    458,631.98x = 687,978.30 × 121,667.90
  4. Step 4: Simplify right side
    458,631.98x = 83,704,875,006.57
  5. Step 5: Solve for x
    x = 83,704,875,006.57/458,631.98
  6. Step 6: Final answer
    x = 182,509.90

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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.