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Finding the Fourth Proportional to 305,437.78, 457,972.59 and 136,927.60

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Solution

The fourth proportional to 305,437.78, 457,972.59 and 136,927.60 is: 205,308.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,437.78 : 457,972.59 = 136,927.60 : x
  2. Step 2: Convert to fraction form
    305,437.78/457,972.59 = 136,927.60/x
  3. Step 3: Cross multiply
    305,437.78x = 457,972.59 × 136,927.60
  4. Step 4: Simplify right side
    305,437.78x = 62,709,087,614.48
  5. Step 5: Solve for x
    x = 62,709,087,614.48/305,437.78
  6. Step 6: Final answer
    x = 205,308.88

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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.