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Finding the Fourth Proportional to 287,513.54, 396,771.40 and 158,456.66

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Solution

The fourth proportional to 287,513.54, 396,771.40 and 158,456.66 is: 218,671.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,513.54 : 396,771.40 = 158,456.66 : x
  2. Step 2: Convert to fraction form
    287,513.54/396,771.40 = 158,456.66/x
  3. Step 3: Cross multiply
    287,513.54x = 396,771.40 × 158,456.66
  4. Step 4: Simplify right side
    287,513.54x = 62,871,070,827.52
  5. Step 5: Solve for x
    x = 62,871,070,827.52/287,513.54
  6. Step 6: Final answer
    x = 218,671.69

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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.