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Finding the Fourth Proportional to 312,399.40, 468,502.08 and 112,693.80

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Solution

The fourth proportional to 312,399.40, 468,502.08 and 112,693.80 is: 169,005.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,399.40 : 468,502.08 = 112,693.80 : x
  2. Step 2: Convert to fraction form
    312,399.40/468,502.08 = 112,693.80/x
  3. Step 3: Cross multiply
    312,399.40x = 468,502.08 × 112,693.80
  4. Step 4: Simplify right side
    312,399.40x = 52,797,279,703.10
  5. Step 5: Solve for x
    x = 52,797,279,703.10/312,399.40
  6. Step 6: Final answer
    x = 169,005.70

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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.