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Finding the Fourth Proportional to 398,860.80, 598,291.20 and 146,140.80

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Solution

The fourth proportional to 398,860.80, 598,291.20 and 146,140.80 is: 219,211.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,860.80 : 598,291.20 = 146,140.80 : x
  2. Step 2: Convert to fraction form
    398,860.80/598,291.20 = 146,140.80/x
  3. Step 3: Cross multiply
    398,860.80x = 598,291.20 × 146,140.80
  4. Step 4: Simplify right side
    398,860.80x = 87,434,754,600.96
  5. Step 5: Solve for x
    x = 87,434,754,600.96/398,860.80
  6. Step 6: Final answer
    x = 219,211.20

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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.