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Finding the Fourth Proportional to 287,248.18, 431,069.16 and 100,259.68

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Solution

The fourth proportional to 287,248.18, 431,069.16 and 100,259.68 is: 150,458.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,248.18 : 431,069.16 = 100,259.68 : x
  2. Step 2: Convert to fraction form
    287,248.18/431,069.16 = 100,259.68/x
  3. Step 3: Cross multiply
    287,248.18x = 431,069.16 × 100,259.68
  4. Step 4: Simplify right side
    287,248.18x = 43,218,856,039.47
  5. Step 5: Solve for x
    x = 43,218,856,039.47/287,248.18
  6. Step 6: Final answer
    x = 150,458.24

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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.