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Finding the Fourth Proportional to 287,172.74, 430,823.36 and 87,508.76

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Solution

The fourth proportional to 287,172.74, 430,823.36 and 87,508.76 is: 131,282.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,172.74 : 430,823.36 = 87,508.76 : x
  2. Step 2: Convert to fraction form
    287,172.74/430,823.36 = 87,508.76/x
  3. Step 3: Cross multiply
    287,172.74x = 430,823.36 × 87,508.76
  4. Step 4: Simplify right side
    287,172.74x = 37,700,815,585.05
  5. Step 5: Solve for x
    x = 37,700,815,585.05/287,172.74
  6. Step 6: Final answer
    x = 131,282.71

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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.