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Finding the Fourth Proportional to 287,651.60, 431,995.80 and 278,320.40

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Solution

The fourth proportional to 287,651.60, 431,995.80 and 278,320.40 is: 417,982.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,651.60 : 431,995.80 = 278,320.40 : x
  2. Step 2: Convert to fraction form
    287,651.60/431,995.80 = 278,320.40/x
  3. Step 3: Cross multiply
    287,651.60x = 431,995.80 × 278,320.40
  4. Step 4: Simplify right side
    287,651.60x = 120,233,243,854.32
  5. Step 5: Solve for x
    x = 120,233,243,854.32/287,651.60
  6. Step 6: Final answer
    x = 417,982.18

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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.