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Finding the Fourth Proportional to 287,394.32, 396,588.48 and 158,307.50

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Solution

The fourth proportional to 287,394.32, 396,588.48 and 158,307.50 is: 218,455.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,394.32 : 396,588.48 = 158,307.50 : x
  2. Step 2: Convert to fraction form
    287,394.32/396,588.48 = 158,307.50/x
  3. Step 3: Cross multiply
    287,394.32x = 396,588.48 × 158,307.50
  4. Step 4: Simplify right side
    287,394.32x = 62,782,930,797.60
  5. Step 5: Solve for x
    x = 62,782,930,797.60/287,394.32
  6. Step 6: Final answer
    x = 218,455.71

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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.