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Finding the Fourth Proportional to 311,356.95, 466,672.49 and 142,895.07

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Solution

The fourth proportional to 311,356.95, 466,672.49 and 142,895.07 is: 214,176.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,356.95 : 466,672.49 = 142,895.07 : x
  2. Step 2: Convert to fraction form
    311,356.95/466,672.49 = 142,895.07/x
  3. Step 3: Cross multiply
    311,356.95x = 466,672.49 × 142,895.07
  4. Step 4: Simplify right side
    311,356.95x = 66,685,197,947.01
  5. Step 5: Solve for x
    x = 66,685,197,947.01/311,356.95
  6. Step 6: Final answer
    x = 214,176.04

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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.