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Finding the Fourth Proportional to 310,121.14, 428,013.46 and 189,332.46

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Solution

The fourth proportional to 310,121.14, 428,013.46 and 189,332.46 is: 261,307.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,121.14 : 428,013.46 = 189,332.46 : x
  2. Step 2: Convert to fraction form
    310,121.14/428,013.46 = 189,332.46/x
  3. Step 3: Cross multiply
    310,121.14x = 428,013.46 × 189,332.46
  4. Step 4: Simplify right side
    310,121.14x = 81,036,841,294.91
  5. Step 5: Solve for x
    x = 81,036,841,294.91/310,121.14
  6. Step 6: Final answer
    x = 261,307.05

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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.