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Finding the Fourth Proportional to 398,404.80, 598,298.40 and 211,780.80

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Solution

The fourth proportional to 398,404.80, 598,298.40 and 211,780.80 is: 318,038.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,404.80 : 598,298.40 = 211,780.80 : x
  2. Step 2: Convert to fraction form
    398,404.80/598,298.40 = 211,780.80/x
  3. Step 3: Cross multiply
    398,404.80x = 598,298.40 × 211,780.80
  4. Step 4: Simplify right side
    398,404.80x = 126,708,113,790.72
  5. Step 5: Solve for x
    x = 126,708,113,790.72/398,404.80
  6. Step 6: Final answer
    x = 318,038.62

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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.