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Finding the Fourth Proportional to 315,193.76, 435,127.92 and 243,412.64

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Solution

The fourth proportional to 315,193.76, 435,127.92 and 243,412.64 is: 336,033.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,193.76 : 435,127.92 = 243,412.64 : x
  2. Step 2: Convert to fraction form
    315,193.76/435,127.92 = 243,412.64/x
  3. Step 3: Cross multiply
    315,193.76x = 435,127.92 × 243,412.64
  4. Step 4: Simplify right side
    315,193.76x = 105,915,635,744.91
  5. Step 5: Solve for x
    x = 105,915,635,744.91/315,193.76
  6. Step 6: Final answer
    x = 336,033.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.