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Finding the Fourth Proportional to 300,478, 450,788.12 and 98,073.04

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Solution

The fourth proportional to 300,478, 450,788.12 and 98,073.04 is: 147,132.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,478 : 450,788.12 = 98,073.04 : x
  2. Step 2: Convert to fraction form
    300,478/450,788.12 = 98,073.04/x
  3. Step 3: Cross multiply
    300,478x = 450,788.12 × 98,073.04
  4. Step 4: Simplify right side
    300,478x = 44,210,161,324.28
  5. Step 5: Solve for x
    x = 44,210,161,324.28/300,478
  6. Step 6: Final answer
    x = 147,132.77

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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.