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Finding the Fourth Proportional to 431,790.60, 647,685.90 and 312,904.20

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Solution

The fourth proportional to 431,790.60, 647,685.90 and 312,904.20 is: 469,356.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,790.60 : 647,685.90 = 312,904.20 : x
  2. Step 2: Convert to fraction form
    431,790.60/647,685.90 = 312,904.20/x
  3. Step 3: Cross multiply
    431,790.60x = 647,685.90 × 312,904.20
  4. Step 4: Simplify right side
    431,790.60x = 202,663,638,390.78
  5. Step 5: Solve for x
    x = 202,663,638,390.78/431,790.60
  6. Step 6: Final answer
    x = 469,356.30

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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.