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Finding the Fourth Proportional to 287,624.80, 431,437.20 and 259,631.20

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Solution

The fourth proportional to 287,624.80, 431,437.20 and 259,631.20 is: 389,446.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,624.80 : 431,437.20 = 259,631.20 : x
  2. Step 2: Convert to fraction form
    287,624.80/431,437.20 = 259,631.20/x
  3. Step 3: Cross multiply
    287,624.80x = 431,437.20 × 259,631.20
  4. Step 4: Simplify right side
    287,624.80x = 112,014,557,960.64
  5. Step 5: Solve for x
    x = 112,014,557,960.64/287,624.80
  6. Step 6: Final answer
    x = 389,446.80

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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.