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Finding the Fourth Proportional to 287,891.76, 431,892.99 and 110,384.92

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Solution

The fourth proportional to 287,891.76, 431,892.99 and 110,384.92 is: 165,598.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,891.76 : 431,892.99 = 110,384.92 : x
  2. Step 2: Convert to fraction form
    287,891.76/431,892.99 = 110,384.92/x
  3. Step 3: Cross multiply
    287,891.76x = 431,892.99 × 110,384.92
  4. Step 4: Simplify right side
    287,891.76x = 47,674,473,149.71
  5. Step 5: Solve for x
    x = 47,674,473,149.71/287,891.76
  6. Step 6: Final answer
    x = 165,598.60

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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.