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Finding the Fourth Proportional to 387,108.16, 580,662 and 120,891.48

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Solution

The fourth proportional to 387,108.16, 580,662 and 120,891.48 is: 181,337.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,108.16 : 580,662 = 120,891.48 : x
  2. Step 2: Convert to fraction form
    387,108.16/580,662 = 120,891.48/x
  3. Step 3: Cross multiply
    387,108.16x = 580,662 × 120,891.48
  4. Step 4: Simplify right side
    387,108.16x = 70,197,088,559.76
  5. Step 5: Solve for x
    x = 70,197,088,559.76/387,108.16
  6. Step 6: Final answer
    x = 181,337.15

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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.