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Finding the Fourth Proportional to 316,335.69, 474,453.32 and 147,972.87

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Solution

The fourth proportional to 316,335.69, 474,453.32 and 147,972.87 is: 221,935.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,335.69 : 474,453.32 = 147,972.87 : x
  2. Step 2: Convert to fraction form
    316,335.69/474,453.32 = 147,972.87/x
  3. Step 3: Cross multiply
    316,335.69x = 474,453.32 × 147,972.87
  4. Step 4: Simplify right side
    316,335.69x = 70,206,218,701.56
  5. Step 5: Solve for x
    x = 70,206,218,701.56/316,335.69
  6. Step 6: Final answer
    x = 221,935.81

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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.