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Finding the Fourth Proportional to 387,102.32, 580,653.26 and 120,885.65

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Solution

The fourth proportional to 387,102.32, 580,653.26 and 120,885.65 is: 181,328.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,102.32 : 580,653.26 = 120,885.65 : x
  2. Step 2: Convert to fraction form
    387,102.32/580,653.26 = 120,885.65/x
  3. Step 3: Cross multiply
    387,102.32x = 580,653.26 × 120,885.65
  4. Step 4: Simplify right side
    387,102.32x = 70,192,643,252.02
  5. Step 5: Solve for x
    x = 70,192,643,252.02/387,102.32
  6. Step 6: Final answer
    x = 181,328.40

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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.