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Finding the Fourth Proportional to 257,710.73, 385,844.84 and 194,332.50

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Solution

The fourth proportional to 257,710.73, 385,844.84 and 194,332.50 is: 290,954.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,710.73 : 385,844.84 = 194,332.50 : x
  2. Step 2: Convert to fraction form
    257,710.73/385,844.84 = 194,332.50/x
  3. Step 3: Cross multiply
    257,710.73x = 385,844.84 × 194,332.50
  4. Step 4: Simplify right side
    257,710.73x = 74,982,191,397.64
  5. Step 5: Solve for x
    x = 74,982,191,397.64/257,710.73
  6. Step 6: Final answer
    x = 290,954.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.