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Finding the Fourth Proportional to 296,428.80, 444,340.80 and 146,438.40

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Solution

The fourth proportional to 296,428.80, 444,340.80 and 146,438.40 is: 219,508.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,428.80 : 444,340.80 = 146,438.40 : x
  2. Step 2: Convert to fraction form
    296,428.80/444,340.80 = 146,438.40/x
  3. Step 3: Cross multiply
    296,428.80x = 444,340.80 × 146,438.40
  4. Step 4: Simplify right side
    296,428.80x = 65,068,555,806.72
  5. Step 5: Solve for x
    x = 65,068,555,806.72/296,428.80
  6. Step 6: Final answer
    x = 219,508.21

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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.