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Finding the Fourth Proportional to 398,686.88, 598,030.32 and 273,648.80

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Solution

The fourth proportional to 398,686.88, 598,030.32 and 273,648.80 is: 410,473.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,686.88 : 598,030.32 = 273,648.80 : x
  2. Step 2: Convert to fraction form
    398,686.88/598,030.32 = 273,648.80/x
  3. Step 3: Cross multiply
    398,686.88x = 598,030.32 × 273,648.80
  4. Step 4: Simplify right side
    398,686.88x = 163,650,279,431.62
  5. Step 5: Solve for x
    x = 163,650,279,431.62/398,686.88
  6. Step 6: Final answer
    x = 410,473.20

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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.