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Finding the Fourth Proportional to 432,248.00, 648,392.04 and 306,451.76

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Solution

The fourth proportional to 432,248.00, 648,392.04 and 306,451.76 is: 459,691.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,248.00 : 648,392.04 = 306,451.76 : x
  2. Step 2: Convert to fraction form
    432,248.00/648,392.04 = 306,451.76/x
  3. Step 3: Cross multiply
    432,248.00x = 648,392.04 × 306,451.76
  4. Step 4: Simplify right side
    432,248.00x = 198,700,878,586.03
  5. Step 5: Solve for x
    x = 198,700,878,586.03/432,248.00
  6. Step 6: Final answer
    x = 459,691.85

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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.