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Finding the Fourth Proportional to 287,211.68, 430,833.72 and 87,538.58

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Solution

The fourth proportional to 287,211.68, 430,833.72 and 87,538.58 is: 131,312.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,211.68 : 430,833.72 = 87,538.58 : x
  2. Step 2: Convert to fraction form
    287,211.68/430,833.72 = 87,538.58/x
  3. Step 3: Cross multiply
    287,211.68x = 430,833.72 × 87,538.58
  4. Step 4: Simplify right side
    287,211.68x = 37,714,569,910.75
  5. Step 5: Solve for x
    x = 37,714,569,910.75/287,211.68
  6. Step 6: Final answer
    x = 131,312.80

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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.