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Finding the Fourth Proportional to 287,854.29, 397,220.13 and 158,785.02

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Solution

The fourth proportional to 287,854.29, 397,220.13 and 158,785.02 is: 219,112.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,854.29 : 397,220.13 = 158,785.02 : x
  2. Step 2: Convert to fraction form
    287,854.29/397,220.13 = 158,785.02/x
  3. Step 3: Cross multiply
    287,854.29x = 397,220.13 × 158,785.02
  4. Step 4: Simplify right side
    287,854.29x = 63,072,606,286.45
  5. Step 5: Solve for x
    x = 63,072,606,286.45/287,854.29
  6. Step 6: Final answer
    x = 219,112.96

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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.