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Finding the Fourth Proportional to 305,453.76, 457,996.56 and 136,943.58

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Solution

The fourth proportional to 305,453.76, 457,996.56 and 136,943.58 is: 205,332.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,453.76 : 457,996.56 = 136,943.58 : x
  2. Step 2: Convert to fraction form
    305,453.76/457,996.56 = 136,943.58/x
  3. Step 3: Cross multiply
    305,453.76x = 457,996.56 × 136,943.58
  4. Step 4: Simplify right side
    305,453.76x = 62,719,688,554.08
  5. Step 5: Solve for x
    x = 62,719,688,554.08/305,453.76
  6. Step 6: Final answer
    x = 205,332.84

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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.