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Finding the Fourth Proportional to 413,509.92, 620,358.96 and 147,298.56

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Solution

The fourth proportional to 413,509.92, 620,358.96 and 147,298.56 is: 220,981.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,509.92 : 620,358.96 = 147,298.56 : x
  2. Step 2: Convert to fraction form
    413,509.92/620,358.96 = 147,298.56/x
  3. Step 3: Cross multiply
    413,509.92x = 620,358.96 × 147,298.56
  4. Step 4: Simplify right side
    413,509.92x = 91,377,981,491.10
  5. Step 5: Solve for x
    x = 91,377,981,491.10/413,509.92
  6. Step 6: Final answer
    x = 220,981.35

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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.