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Finding the Fourth Proportional to 312,441.48, 431,187.84 and 176,425.47

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Solution

The fourth proportional to 312,441.48, 431,187.84 and 176,425.47 is: 243,477.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,441.48 : 431,187.84 = 176,425.47 : x
  2. Step 2: Convert to fraction form
    312,441.48/431,187.84 = 176,425.47/x
  3. Step 3: Cross multiply
    312,441.48x = 431,187.84 × 176,425.47
  4. Step 4: Simplify right side
    312,441.48x = 76,072,517,330.28
  5. Step 5: Solve for x
    x = 76,072,517,330.28/312,441.48
  6. Step 6: Final answer
    x = 243,477.65

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1.5x scale

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.