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Finding the Fourth Proportional to 387,219.60, 580,808.44 and 120,949.52

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Solution

The fourth proportional to 387,219.60, 580,808.44 and 120,949.52 is: 181,417.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,219.60 : 580,808.44 = 120,949.52 : x
  2. Step 2: Convert to fraction form
    387,219.60/580,808.44 = 120,949.52/x
  3. Step 3: Cross multiply
    387,219.60x = 580,808.44 × 120,949.52
  4. Step 4: Simplify right side
    387,219.60x = 70,248,502,029.95
  5. Step 5: Solve for x
    x = 70,248,502,029.95/387,219.60
  6. Step 6: Final answer
    x = 181,417.73

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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.