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Finding the Fourth Proportional to 432,023.10, 648,034.65 and 407,528.70

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Solution

The fourth proportional to 432,023.10, 648,034.65 and 407,528.70 is: 611,293.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,023.10 : 648,034.65 = 407,528.70 : x
  2. Step 2: Convert to fraction form
    432,023.10/648,034.65 = 407,528.70/x
  3. Step 3: Cross multiply
    432,023.10x = 648,034.65 × 407,528.70
  4. Step 4: Simplify right side
    432,023.10x = 264,092,718,469.46
  5. Step 5: Solve for x
    x = 264,092,718,469.46/432,023.10
  6. Step 6: Final answer
    x = 611,293.05

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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.