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Finding the Fourth Proportional to 474,648.80, 654,990.11 and 259,747.35

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Solution

The fourth proportional to 474,648.80, 654,990.11 and 259,747.35 is: 358,437.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,648.80 : 654,990.11 = 259,747.35 : x
  2. Step 2: Convert to fraction form
    474,648.80/654,990.11 = 259,747.35/x
  3. Step 3: Cross multiply
    474,648.80x = 654,990.11 × 259,747.35
  4. Step 4: Simplify right side
    474,648.80x = 170,131,945,348.71
  5. Step 5: Solve for x
    x = 170,131,945,348.71/474,648.80
  6. Step 6: Final answer
    x = 358,437.53

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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.