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Finding the Fourth Proportional to 431,056.60, 647,276.10 and 291,434.20

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Solution

The fourth proportional to 431,056.60, 647,276.10 and 291,434.20 is: 437,618.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,056.60 : 647,276.10 = 291,434.20 : x
  2. Step 2: Convert to fraction form
    431,056.60/647,276.10 = 291,434.20/x
  3. Step 3: Cross multiply
    431,056.60x = 647,276.10 × 291,434.20
  4. Step 4: Simplify right side
    431,056.60x = 188,638,392,382.62
  5. Step 5: Solve for x
    x = 188,638,392,382.62/431,056.60
  6. Step 6: Final answer
    x = 437,618.62

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1.5x scale

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.