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Finding the Fourth Proportional to 287,569.20, 431,353.80 and 265,917.90

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Solution

The fourth proportional to 287,569.20, 431,353.80 and 265,917.90 is: 398,876.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,569.20 : 431,353.80 = 265,917.90 : x
  2. Step 2: Convert to fraction form
    287,569.20/431,353.80 = 265,917.90/x
  3. Step 3: Cross multiply
    287,569.20x = 431,353.80 × 265,917.90
  4. Step 4: Simplify right side
    287,569.20x = 114,704,696,653.02
  5. Step 5: Solve for x
    x = 114,704,696,653.02/287,569.20
  6. Step 6: Final answer
    x = 398,876.85

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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.