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Finding the Fourth Proportional to 431,053.60, 647,271.60 and 291,431.20

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Solution

The fourth proportional to 431,053.60, 647,271.60 and 291,431.20 is: 437,614.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,053.60 : 647,271.60 = 291,431.20 : x
  2. Step 2: Convert to fraction form
    431,053.60/647,271.60 = 291,431.20/x
  3. Step 3: Cross multiply
    431,053.60x = 647,271.60 × 291,431.20
  4. Step 4: Simplify right side
    431,053.60x = 188,635,139,113.92
  5. Step 5: Solve for x
    x = 188,635,139,113.92/431,053.60
  6. Step 6: Final answer
    x = 437,614.11

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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.