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Finding the Fourth Proportional to 310,807.92, 428,916.60 and 183,546.30

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Solution

The fourth proportional to 310,807.92, 428,916.60 and 183,546.30 is: 253,294.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,807.92 : 428,916.60 = 183,546.30 : x
  2. Step 2: Convert to fraction form
    310,807.92/428,916.60 = 183,546.30/x
  3. Step 3: Cross multiply
    310,807.92x = 428,916.60 × 183,546.30
  4. Step 4: Simplify right side
    310,807.92x = 78,726,054,938.58
  5. Step 5: Solve for x
    x = 78,726,054,938.58/310,807.92
  6. Step 6: Final answer
    x = 253,294.88

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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.