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Finding the Fourth Proportional to 287,182.84, 396,321.12 and 156,369.16

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Solution

The fourth proportional to 287,182.84, 396,321.12 and 156,369.16 is: 215,794.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,182.84 : 396,321.12 = 156,369.16 : x
  2. Step 2: Convert to fraction form
    287,182.84/396,321.12 = 156,369.16/x
  3. Step 3: Cross multiply
    287,182.84x = 396,321.12 × 156,369.16
  4. Step 4: Simplify right side
    287,182.84x = 61,972,400,624.66
  5. Step 5: Solve for x
    x = 61,972,400,624.66/287,182.84
  6. Step 6: Final answer
    x = 215,794.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.