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Finding the Fourth Proportional to 287,672.90, 431,509.35 and 182,956.10

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Solution

The fourth proportional to 287,672.90, 431,509.35 and 182,956.10 is: 274,434.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,672.90 : 431,509.35 = 182,956.10 : x
  2. Step 2: Convert to fraction form
    287,672.90/431,509.35 = 182,956.10/x
  3. Step 3: Cross multiply
    287,672.90x = 431,509.35 × 182,956.10
  4. Step 4: Simplify right side
    287,672.90x = 78,947,267,789.54
  5. Step 5: Solve for x
    x = 78,947,267,789.54/287,672.90
  6. Step 6: Final answer
    x = 274,434.15

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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.