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Finding the Fourth Proportional to 315,470.44, 435,349.86 and 172,230.52

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Solution

The fourth proportional to 315,470.44, 435,349.86 and 172,230.52 is: 237,678.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,470.44 : 435,349.86 = 172,230.52 : x
  2. Step 2: Convert to fraction form
    315,470.44/435,349.86 = 172,230.52/x
  3. Step 3: Cross multiply
    315,470.44x = 435,349.86 × 172,230.52
  4. Step 4: Simplify right side
    315,470.44x = 74,980,532,769.73
  5. Step 5: Solve for x
    x = 74,980,532,769.73/315,470.44
  6. Step 6: Final answer
    x = 237,678.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.