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Finding the Fourth Proportional to 452,605.92, 678,908.78 and 115,647.20

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Solution

The fourth proportional to 452,605.92, 678,908.78 and 115,647.20 is: 173,470.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,605.92 : 678,908.78 = 115,647.20 : x
  2. Step 2: Convert to fraction form
    452,605.92/678,908.78 = 115,647.20/x
  3. Step 3: Cross multiply
    452,605.92x = 678,908.78 × 115,647.20
  4. Step 4: Simplify right side
    452,605.92x = 78,513,899,462.42
  5. Step 5: Solve for x
    x = 78,513,899,462.42/452,605.92
  6. Step 6: Final answer
    x = 173,470.77

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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.