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Finding the Fourth Proportional to 321,139.53, 442,656.05 and 217,740.24

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Solution

The fourth proportional to 321,139.53, 442,656.05 and 217,740.24 is: 300,131.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,139.53 : 442,656.05 = 217,740.24 : x
  2. Step 2: Convert to fraction form
    321,139.53/442,656.05 = 217,740.24/x
  3. Step 3: Cross multiply
    321,139.53x = 442,656.05 × 217,740.24
  4. Step 4: Simplify right side
    321,139.53x = 96,384,034,564.45
  5. Step 5: Solve for x
    x = 96,384,034,564.45/321,139.53
  6. Step 6: Final answer
    x = 300,131.33

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1.5x scale

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.