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Finding the Fourth Proportional to 494,590.80, 741,713.40 and 257,854.80

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Solution

The fourth proportional to 494,590.80, 741,713.40 and 257,854.80 is: 386,692.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,590.80 : 741,713.40 = 257,854.80 : x
  2. Step 2: Convert to fraction form
    494,590.80/741,713.40 = 257,854.80/x
  3. Step 3: Cross multiply
    494,590.80x = 741,713.40 × 257,854.80
  4. Step 4: Simplify right side
    494,590.80x = 191,254,360,414.32
  5. Step 5: Solve for x
    x = 191,254,360,414.32/494,590.80
  6. Step 6: Final answer
    x = 386,692.11

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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.