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Finding the Fourth Proportional to 312,802.69, 469,240.52 and 113,217.07

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Solution

The fourth proportional to 312,802.69, 469,240.52 and 113,217.07 is: 169,838.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,802.69 : 469,240.52 = 113,217.07 : x
  2. Step 2: Convert to fraction form
    312,802.69/469,240.52 = 113,217.07/x
  3. Step 3: Cross multiply
    312,802.69x = 469,240.52 × 113,217.07
  4. Step 4: Simplify right side
    312,802.69x = 53,126,034,939.00
  5. Step 5: Solve for x
    x = 53,126,034,939.00/312,802.69
  6. Step 6: Final answer
    x = 169,838.81

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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.