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Finding the Fourth Proportional to 312,501.40, 431,278.44 and 176,560.30

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Solution

The fourth proportional to 312,501.40, 431,278.44 and 176,560.30 is: 243,668.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,501.40 : 431,278.44 = 176,560.30 : x
  2. Step 2: Convert to fraction form
    312,501.40/431,278.44 = 176,560.30/x
  3. Step 3: Cross multiply
    312,501.40x = 431,278.44 × 176,560.30
  4. Step 4: Simplify right side
    312,501.40x = 76,146,650,749.93
  5. Step 5: Solve for x
    x = 76,146,650,749.93/312,501.40
  6. Step 6: Final answer
    x = 243,668.19

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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.