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Finding the Fourth Proportional to 253,944, 350,442.72 and 140,784

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Solution

The fourth proportional to 253,944, 350,442.72 and 140,784 is: 194,281.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,944 : 350,442.72 = 140,784 : x
  2. Step 2: Convert to fraction form
    253,944/350,442.72 = 140,784/x
  3. Step 3: Cross multiply
    253,944x = 350,442.72 × 140,784
  4. Step 4: Simplify right side
    253,944x = 49,336,727,892.48
  5. Step 5: Solve for x
    x = 49,336,727,892.48/253,944
  6. Step 6: Final answer
    x = 194,281.92

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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.