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Finding the Fourth Proportional to 280,895, 387,604.68 and 166,177.92

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Solution

The fourth proportional to 280,895, 387,604.68 and 166,177.92 is: 229,307.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,895 : 387,604.68 = 166,177.92 : x
  2. Step 2: Convert to fraction form
    280,895/387,604.68 = 166,177.92/x
  3. Step 3: Cross multiply
    280,895x = 387,604.68 × 166,177.92
  4. Step 4: Simplify right side
    280,895x = 64,411,339,504.67
  5. Step 5: Solve for x
    x = 64,411,339,504.67/280,895
  6. Step 6: Final answer
    x = 229,307.53

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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.