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Finding the Fourth Proportional to 287,518.79, 396,778.61 and 158,461.86

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Solution

The fourth proportional to 287,518.79, 396,778.61 and 158,461.86 is: 218,678.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,518.79 : 396,778.61 = 158,461.86 : x
  2. Step 2: Convert to fraction form
    287,518.79/396,778.61 = 158,461.86/x
  3. Step 3: Cross multiply
    287,518.79x = 396,778.61 × 158,461.86
  4. Step 4: Simplify right side
    287,518.79x = 62,874,277,541.54
  5. Step 5: Solve for x
    x = 62,874,277,541.54/287,518.79
  6. Step 6: Final answer
    x = 218,678.85

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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.