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Finding the Fourth Proportional to 310,980.17, 466,253.82 and 137,777.86

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Solution

The fourth proportional to 310,980.17, 466,253.82 and 137,777.86 is: 206,570.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,980.17 : 466,253.82 = 137,777.86 : x
  2. Step 2: Convert to fraction form
    310,980.17/466,253.82 = 137,777.86/x
  3. Step 3: Cross multiply
    310,980.17x = 466,253.82 × 137,777.86
  4. Step 4: Simplify right side
    310,980.17x = 64,239,454,119.24
  5. Step 5: Solve for x
    x = 64,239,454,119.24/310,980.17
  6. Step 6: Final answer
    x = 206,570.90

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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.