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Finding the Fourth Proportional to 285,098.54, 427,979.10 and 166,854.74

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Solution

The fourth proportional to 285,098.54, 427,979.10 and 166,854.74 is: 250,476.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,098.54 : 427,979.10 = 166,854.74 : x
  2. Step 2: Convert to fraction form
    285,098.54/427,979.10 = 166,854.74/x
  3. Step 3: Cross multiply
    285,098.54x = 427,979.10 × 166,854.74
  4. Step 4: Simplify right side
    285,098.54x = 71,410,341,455.93
  5. Step 5: Solve for x
    x = 71,410,341,455.93/285,098.54
  6. Step 6: Final answer
    x = 250,476.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.