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Finding the Fourth Proportional to 313,472.48, 470,288.28 and 145,114.16

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Solution

The fourth proportional to 313,472.48, 470,288.28 and 145,114.16 is: 217,708.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,472.48 : 470,288.28 = 145,114.16 : x
  2. Step 2: Convert to fraction form
    313,472.48/470,288.28 = 145,114.16/x
  3. Step 3: Cross multiply
    313,472.48x = 470,288.28 × 145,114.16
  4. Step 4: Simplify right side
    313,472.48x = 68,245,488,710.04
  5. Step 5: Solve for x
    x = 68,245,488,710.04/313,472.48
  6. Step 6: Final answer
    x = 217,708.07

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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.