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Finding the Fourth Proportional to 387,102.69, 580,653.82 and 120,886.02

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Solution

The fourth proportional to 387,102.69, 580,653.82 and 120,886.02 is: 181,328.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,102.69 : 580,653.82 = 120,886.02 : x
  2. Step 2: Convert to fraction form
    387,102.69/580,653.82 = 120,886.02/x
  3. Step 3: Cross multiply
    387,102.69x = 580,653.82 × 120,886.02
  4. Step 4: Simplify right side
    387,102.69x = 70,192,929,297.60
  5. Step 5: Solve for x
    x = 70,192,929,297.60/387,102.69
  6. Step 6: Final answer
    x = 181,328.96

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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.