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Finding the Fourth Proportional to 312,922.14, 431,830.20 and 169,681.98

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Solution

The fourth proportional to 312,922.14, 431,830.20 and 169,681.98 is: 234,159.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,922.14 : 431,830.20 = 169,681.98 : x
  2. Step 2: Convert to fraction form
    312,922.14/431,830.20 = 169,681.98/x
  3. Step 3: Cross multiply
    312,922.14x = 431,830.20 × 169,681.98
  4. Step 4: Simplify right side
    312,922.14x = 73,273,803,359.80
  5. Step 5: Solve for x
    x = 73,273,803,359.80/312,922.14
  6. Step 6: Final answer
    x = 234,159.86

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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.