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Finding the Fourth Proportional to 313,472.30, 470,323.65 and 126,502.70

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Solution

The fourth proportional to 313,472.30, 470,323.65 and 126,502.70 is: 189,800.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,472.30 : 470,323.65 = 126,502.70 : x
  2. Step 2: Convert to fraction form
    313,472.30/470,323.65 = 126,502.70/x
  3. Step 3: Cross multiply
    313,472.30x = 470,323.65 × 126,502.70
  4. Step 4: Simplify right side
    313,472.30x = 59,497,211,598.86
  5. Step 5: Solve for x
    x = 59,497,211,598.86/313,472.30
  6. Step 6: Final answer
    x = 189,800.54

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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.