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Finding the Fourth Proportional to 386,138.60, 578,747.10 and 161,498.60

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Solution

The fourth proportional to 386,138.60, 578,747.10 and 161,498.60 is: 242,055.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,138.60 : 578,747.10 = 161,498.60 : x
  2. Step 2: Convert to fraction form
    386,138.60/578,747.10 = 161,498.60/x
  3. Step 3: Cross multiply
    386,138.60x = 578,747.10 × 161,498.60
  4. Step 4: Simplify right side
    386,138.60x = 93,466,846,404.06
  5. Step 5: Solve for x
    x = 93,466,846,404.06/386,138.60
  6. Step 6: Final answer
    x = 242,055.18

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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.