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Finding the Fourth Proportional to 458,492.40, 687,836.88 and 138,616.92

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Solution

The fourth proportional to 458,492.40, 687,836.88 and 138,616.92 is: 207,955.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,492.40 : 687,836.88 = 138,616.92 : x
  2. Step 2: Convert to fraction form
    458,492.40/687,836.88 = 138,616.92/x
  3. Step 3: Cross multiply
    458,492.40x = 687,836.88 × 138,616.92
  4. Step 4: Simplify right side
    458,492.40x = 95,345,829,768.01
  5. Step 5: Solve for x
    x = 95,345,829,768.01/458,492.40
  6. Step 6: Final answer
    x = 207,955.09

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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.