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Finding the Fourth Proportional to 315,654.40, 473,066.80 and 149,489.92

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Solution

The fourth proportional to 315,654.40, 473,066.80 and 149,489.92 is: 224,038.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,654.40 : 473,066.80 = 149,489.92 : x
  2. Step 2: Convert to fraction form
    315,654.40/473,066.80 = 149,489.92/x
  3. Step 3: Cross multiply
    315,654.40x = 473,066.80 × 149,489.92
  4. Step 4: Simplify right side
    315,654.40x = 70,718,718,086.66
  5. Step 5: Solve for x
    x = 70,718,718,086.66/315,654.40
  6. Step 6: Final answer
    x = 224,038.44

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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.