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Finding the Fourth Proportional to 312,497.38, 431,255.24 and 176,537.08

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Solution

The fourth proportional to 312,497.38, 431,255.24 and 176,537.08 is: 243,626.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,497.38 : 431,255.24 = 176,537.08 : x
  2. Step 2: Convert to fraction form
    312,497.38/431,255.24 = 176,537.08/x
  3. Step 3: Cross multiply
    312,497.38x = 431,255.24 × 176,537.08
  4. Step 4: Simplify right side
    312,497.38x = 76,132,539,823.89
  5. Step 5: Solve for x
    x = 76,132,539,823.89/312,497.38
  6. Step 6: Final answer
    x = 243,626.17

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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.