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Finding the Fourth Proportional to 431,880.08, 646,885.17 and 313,290

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Solution

The fourth proportional to 431,880.08, 646,885.17 and 313,290 is: 469,256.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,880.08 : 646,885.17 = 313,290 : x
  2. Step 2: Convert to fraction form
    431,880.08/646,885.17 = 313,290/x
  3. Step 3: Cross multiply
    431,880.08x = 646,885.17 × 313,290
  4. Step 4: Simplify right side
    431,880.08x = 202,662,654,909.30
  5. Step 5: Solve for x
    x = 202,662,654,909.30/431,880.08
  6. Step 6: Final answer
    x = 469,256.78

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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.