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Finding the Fourth Proportional to 303,359.40, 418,719.24 and 176,076

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Solution

The fourth proportional to 303,359.40, 418,719.24 and 176,076 is: 243,033.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,359.40 : 418,719.24 = 176,076 : x
  2. Step 2: Convert to fraction form
    303,359.40/418,719.24 = 176,076/x
  3. Step 3: Cross multiply
    303,359.40x = 418,719.24 × 176,076
  4. Step 4: Simplify right side
    303,359.40x = 73,726,408,902.24
  5. Step 5: Solve for x
    x = 73,726,408,902.24/303,359.40
  6. Step 6: Final answer
    x = 243,033.21

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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.