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Finding the Fourth Proportional to 287,251.10, 430,876.65 and 162,835.10

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Solution

The fourth proportional to 287,251.10, 430,876.65 and 162,835.10 is: 244,252.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,251.10 : 430,876.65 = 162,835.10 : x
  2. Step 2: Convert to fraction form
    287,251.10/430,876.65 = 162,835.10/x
  3. Step 3: Cross multiply
    287,251.10x = 430,876.65 × 162,835.10
  4. Step 4: Simplify right side
    287,251.10x = 70,161,842,390.42
  5. Step 5: Solve for x
    x = 70,161,842,390.42/287,251.10
  6. Step 6: Final answer
    x = 244,252.65

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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.