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Finding the Fourth Proportional to 287,695.85, 397,190.36 and 255,776.40

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Solution

The fourth proportional to 287,695.85, 397,190.36 and 255,776.40 is: 353,122.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,695.85 : 397,190.36 = 255,776.40 : x
  2. Step 2: Convert to fraction form
    287,695.85/397,190.36 = 255,776.40/x
  3. Step 3: Cross multiply
    287,695.85x = 397,190.36 × 255,776.40
  4. Step 4: Simplify right side
    287,695.85x = 101,591,921,034.95
  5. Step 5: Solve for x
    x = 101,591,921,034.95/287,695.85
  6. Step 6: Final answer
    x = 353,122.66

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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.