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Finding the Fourth Proportional to 398,488.80, 598,424.40 and 211,864.80

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Solution

The fourth proportional to 398,488.80, 598,424.40 and 211,864.80 is: 318,164.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,488.80 : 598,424.40 = 211,864.80 : x
  2. Step 2: Convert to fraction form
    398,488.80/598,424.40 = 211,864.80/x
  3. Step 3: Cross multiply
    398,488.80x = 598,424.40 × 211,864.80
  4. Step 4: Simplify right side
    398,488.80x = 126,785,065,821.12
  5. Step 5: Solve for x
    x = 126,785,065,821.12/398,488.80
  6. Step 6: Final answer
    x = 318,164.69

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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.