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Finding the Fourth Proportional to 458,317.52, 687,384.84 and 154,682

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Solution

The fourth proportional to 458,317.52, 687,384.84 and 154,682 is: 231,992.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,317.52 : 687,384.84 = 154,682 : x
  2. Step 2: Convert to fraction form
    458,317.52/687,384.84 = 154,682/x
  3. Step 3: Cross multiply
    458,317.52x = 687,384.84 × 154,682
  4. Step 4: Simplify right side
    458,317.52x = 106,326,061,820.88
  5. Step 5: Solve for x
    x = 106,326,061,820.88/458,317.52
  6. Step 6: Final answer
    x = 231,992.14

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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.