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Finding the Fourth Proportional to 268,382.88, 402,640.29 and 133,510.59

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Solution

The fourth proportional to 268,382.88, 402,640.29 and 133,510.59 is: 200,298.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,382.88 : 402,640.29 = 133,510.59 : x
  2. Step 2: Convert to fraction form
    268,382.88/402,640.29 = 133,510.59/x
  3. Step 3: Cross multiply
    268,382.88x = 402,640.29 × 133,510.59
  4. Step 4: Simplify right side
    268,382.88x = 53,756,742,675.67
  5. Step 5: Solve for x
    x = 53,756,742,675.67/268,382.88
  6. Step 6: Final answer
    x = 200,298.70

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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.