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Finding the Fourth Proportional to 432,386.96, 648,979.12 and 219,304.40

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Solution

The fourth proportional to 432,386.96, 648,979.12 and 219,304.40 is: 329,158.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,386.96 : 648,979.12 = 219,304.40 : x
  2. Step 2: Convert to fraction form
    432,386.96/648,979.12 = 219,304.40/x
  3. Step 3: Cross multiply
    432,386.96x = 648,979.12 × 219,304.40
  4. Step 4: Simplify right side
    432,386.96x = 142,323,976,524.13
  5. Step 5: Solve for x
    x = 142,323,976,524.13/432,386.96
  6. Step 6: Final answer
    x = 329,158.81

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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.