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Finding the Fourth Proportional to 312,669.48, 469,000.02 and 76,011.48

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Solution

The fourth proportional to 312,669.48, 469,000.02 and 76,011.48 is: 114,016.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,669.48 : 469,000.02 = 76,011.48 : x
  2. Step 2: Convert to fraction form
    312,669.48/469,000.02 = 76,011.48/x
  3. Step 3: Cross multiply
    312,669.48x = 469,000.02 × 76,011.48
  4. Step 4: Simplify right side
    312,669.48x = 35,649,385,640.23
  5. Step 5: Solve for x
    x = 35,649,385,640.23/312,669.48
  6. Step 6: Final answer
    x = 114,016.20

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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.