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Finding the Fourth Proportional to 284,428.65, 426,767.43 and 134,775.75

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Solution

The fourth proportional to 284,428.65, 426,767.43 and 134,775.75 is: 202,222.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,428.65 : 426,767.43 = 134,775.75 : x
  2. Step 2: Convert to fraction form
    284,428.65/426,767.43 = 134,775.75/x
  3. Step 3: Cross multiply
    284,428.65x = 426,767.43 × 134,775.75
  4. Step 4: Simplify right side
    284,428.65x = 57,517,900,453.82
  5. Step 5: Solve for x
    x = 57,517,900,453.82/284,428.65
  6. Step 6: Final answer
    x = 202,222.60

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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.