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Finding the Fourth Proportional to 431,054.60, 647,273.10 and 291,432.20

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Solution

The fourth proportional to 431,054.60, 647,273.10 and 291,432.20 is: 437,615.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,054.60 : 647,273.10 = 291,432.20 : x
  2. Step 2: Convert to fraction form
    431,054.60/647,273.10 = 291,432.20/x
  3. Step 3: Cross multiply
    431,054.60x = 647,273.10 × 291,432.20
  4. Step 4: Simplify right side
    431,054.60x = 188,636,223,533.82
  5. Step 5: Solve for x
    x = 188,636,223,533.82/431,054.60
  6. Step 6: Final answer
    x = 437,615.61

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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.