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Finding the Fourth Proportional to 287,234.91, 430,881.83 and 109,891.08

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Solution

The fourth proportional to 287,234.91, 430,881.83 and 109,891.08 is: 164,847.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,234.91 : 430,881.83 = 109,891.08 : x
  2. Step 2: Convert to fraction form
    287,234.91/430,881.83 = 109,891.08/x
  3. Step 3: Cross multiply
    287,234.91x = 430,881.83 × 109,891.08
  4. Step 4: Simplify right side
    287,234.91x = 47,350,069,513.71
  5. Step 5: Solve for x
    x = 47,350,069,513.71/287,234.91
  6. Step 6: Final answer
    x = 164,847.89

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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.