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Finding the Fourth Proportional to 316,136.72, 474,333.24 and 138,550.16

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Solution

The fourth proportional to 316,136.72, 474,333.24 and 138,550.16 is: 207,881.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,136.72 : 474,333.24 = 138,550.16 : x
  2. Step 2: Convert to fraction form
    316,136.72/474,333.24 = 138,550.16/x
  3. Step 3: Cross multiply
    316,136.72x = 474,333.24 × 138,550.16
  4. Step 4: Simplify right side
    316,136.72x = 65,718,946,295.32
  5. Step 5: Solve for x
    x = 65,718,946,295.32/316,136.72
  6. Step 6: Final answer
    x = 207,881.41

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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.