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Finding the Fourth Proportional to 312,302.78, 430,977.75 and 169,062.71

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Solution

The fourth proportional to 312,302.78, 430,977.75 and 169,062.71 is: 233,306.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,302.78 : 430,977.75 = 169,062.71 : x
  2. Step 2: Convert to fraction form
    312,302.78/430,977.75 = 169,062.71/x
  3. Step 3: Cross multiply
    312,302.78x = 430,977.75 × 169,062.71
  4. Step 4: Simplify right side
    312,302.78x = 72,862,266,364.70
  5. Step 5: Solve for x
    x = 72,862,266,364.70/312,302.78
  6. Step 6: Final answer
    x = 233,306.49

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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.