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Finding the Fourth Proportional to 287,585.40, 431,340.30 and 87,925.80

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Solution

The fourth proportional to 287,585.40, 431,340.30 and 87,925.80 is: 131,877.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,585.40 : 431,340.30 = 87,925.80 : x
  2. Step 2: Convert to fraction form
    287,585.40/431,340.30 = 87,925.80/x
  3. Step 3: Cross multiply
    287,585.40x = 431,340.30 × 87,925.80
  4. Step 4: Simplify right side
    287,585.40x = 37,925,940,949.74
  5. Step 5: Solve for x
    x = 37,925,940,949.74/287,585.40
  6. Step 6: Final answer
    x = 131,877.14

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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.