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Finding the Fourth Proportional to 432,109.52, 647,231.16 and 421,534.16

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Solution

The fourth proportional to 432,109.52, 647,231.16 and 421,534.16 is: 631,390.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,109.52 : 647,231.16 = 421,534.16 : x
  2. Step 2: Convert to fraction form
    432,109.52/647,231.16 = 421,534.16/x
  3. Step 3: Cross multiply
    432,109.52x = 647,231.16 × 421,534.16
  4. Step 4: Simplify right side
    432,109.52x = 272,830,043,356.43
  5. Step 5: Solve for x
    x = 272,830,043,356.43/432,109.52
  6. Step 6: Final answer
    x = 631,390.96

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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.