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Finding the Fourth Proportional to 310,833.16, 428,950.41 and 183,516.95

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Solution

The fourth proportional to 310,833.16, 428,950.41 and 183,516.95 is: 253,253.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,833.16 : 428,950.41 = 183,516.95 : x
  2. Step 2: Convert to fraction form
    310,833.16/428,950.41 = 183,516.95/x
  3. Step 3: Cross multiply
    310,833.16x = 428,950.41 × 183,516.95
  4. Step 4: Simplify right side
    310,833.16x = 78,719,670,944.45
  5. Step 5: Solve for x
    x = 78,719,670,944.45/310,833.16
  6. Step 6: Final answer
    x = 253,253.78

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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.