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Finding the Fourth Proportional to 287,225.84, 396,387.36 and 159,898.64

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Solution

The fourth proportional to 287,225.84, 396,387.36 and 159,898.64 is: 220,668.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,225.84 : 396,387.36 = 159,898.64 : x
  2. Step 2: Convert to fraction form
    287,225.84/396,387.36 = 159,898.64/x
  3. Step 3: Cross multiply
    287,225.84x = 396,387.36 × 159,898.64
  4. Step 4: Simplify right side
    287,225.84x = 63,381,799,777.19
  5. Step 5: Solve for x
    x = 63,381,799,777.19/287,225.84
  6. Step 6: Final answer
    x = 220,668.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.