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Finding the Fourth Proportional to 268,538.58, 402,807.87 and 127,870.74

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Solution

The fourth proportional to 268,538.58, 402,807.87 and 127,870.74 is: 191,806.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,538.58 : 402,807.87 = 127,870.74 : x
  2. Step 2: Convert to fraction form
    268,538.58/402,807.87 = 127,870.74/x
  3. Step 3: Cross multiply
    268,538.58x = 402,807.87 × 127,870.74
  4. Step 4: Simplify right side
    268,538.58x = 51,507,340,414.72
  5. Step 5: Solve for x
    x = 51,507,340,414.72/268,538.58
  6. Step 6: Final answer
    x = 191,806.11

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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.