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Finding the Fourth Proportional to 268,538.64, 402,807.83 and 127,870.80

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Solution

The fourth proportional to 268,538.64, 402,807.83 and 127,870.80 is: 191,806.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,538.64 : 402,807.83 = 127,870.80 : x
  2. Step 2: Convert to fraction form
    268,538.64/402,807.83 = 127,870.80/x
  3. Step 3: Cross multiply
    268,538.64x = 402,807.83 × 127,870.80
  4. Step 4: Simplify right side
    268,538.64x = 51,507,358,829.01
  5. Step 5: Solve for x
    x = 51,507,358,829.01/268,538.64
  6. Step 6: Final answer
    x = 191,806.14

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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.