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Finding the Fourth Proportional to 280,966.80, 387,702.36 and 166,248.96

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Solution

The fourth proportional to 280,966.80, 387,702.36 and 166,248.96 is: 229,404.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,966.80 : 387,702.36 = 166,248.96 : x
  2. Step 2: Convert to fraction form
    280,966.80/387,702.36 = 166,248.96/x
  3. Step 3: Cross multiply
    280,966.80x = 387,702.36 × 166,248.96
  4. Step 4: Simplify right side
    280,966.80x = 64,455,114,139.55
  5. Step 5: Solve for x
    x = 64,455,114,139.55/280,966.80
  6. Step 6: Final answer
    x = 229,404.73

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1.5x scale

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.