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Finding the Fourth Proportional to 343,338.40, 515,428.80 and 216,978.40

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Solution

The fourth proportional to 343,338.40, 515,428.80 and 216,978.40 is: 325,733.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,338.40 : 515,428.80 = 216,978.40 : x
  2. Step 2: Convert to fraction form
    343,338.40/515,428.80 = 216,978.40/x
  3. Step 3: Cross multiply
    343,338.40x = 515,428.80 × 216,978.40
  4. Step 4: Simplify right side
    343,338.40x = 111,836,916,337.92
  5. Step 5: Solve for x
    x = 111,836,916,337.92/343,338.40
  6. Step 6: Final answer
    x = 325,733.78

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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.