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Finding the Fourth Proportional to 287,649.60, 431,992.80 and 278,318.40

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Solution

The fourth proportional to 287,649.60, 431,992.80 and 278,318.40 is: 417,979.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,649.60 : 431,992.80 = 278,318.40 : x
  2. Step 2: Convert to fraction form
    287,649.60/431,992.80 = 278,318.40/x
  3. Step 3: Cross multiply
    287,649.60x = 431,992.80 × 278,318.40
  4. Step 4: Simplify right side
    287,649.60x = 120,231,544,907.52
  5. Step 5: Solve for x
    x = 120,231,544,907.52/287,649.60
  6. Step 6: Final answer
    x = 417,979.18

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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.