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Finding the Fourth Proportional to 431,675.30, 647,962.07 and 317,951.52

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Solution

The fourth proportional to 431,675.30, 647,962.07 and 317,951.52 is: 477,258.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,675.30 : 647,962.07 = 317,951.52 : x
  2. Step 2: Convert to fraction form
    431,675.30/647,962.07 = 317,951.52/x
  3. Step 3: Cross multiply
    431,675.30x = 647,962.07 × 317,951.52
  4. Step 4: Simplify right side
    431,675.30x = 206,020,528,283.58
  5. Step 5: Solve for x
    x = 206,020,528,283.58/431,675.30
  6. Step 6: Final answer
    x = 477,258.08

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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.