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Finding the Fourth Proportional to 312,126.82, 430,703.85 and 176,147.62

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Solution

The fourth proportional to 312,126.82, 430,703.85 and 176,147.62 is: 243,066.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,126.82 : 430,703.85 = 176,147.62 : x
  2. Step 2: Convert to fraction form
    312,126.82/430,703.85 = 176,147.62/x
  3. Step 3: Cross multiply
    312,126.82x = 430,703.85 × 176,147.62
  4. Step 4: Simplify right side
    312,126.82x = 75,867,458,102.34
  5. Step 5: Solve for x
    x = 75,867,458,102.34/312,126.82
  6. Step 6: Final answer
    x = 243,066.13

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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.