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Finding the Fourth Proportional to 311,356.40, 466,969.80 and 86,658.80

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Solution

The fourth proportional to 311,356.40, 466,969.80 and 86,658.80 is: 129,970.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,356.40 : 466,969.80 = 86,658.80 : x
  2. Step 2: Convert to fraction form
    311,356.40/466,969.80 = 86,658.80/x
  3. Step 3: Cross multiply
    311,356.40x = 466,969.80 × 86,658.80
  4. Step 4: Simplify right side
    311,356.40x = 40,467,042,504.24
  5. Step 5: Solve for x
    x = 40,467,042,504.24/311,356.40
  6. Step 6: Final answer
    x = 129,970.16

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1.5x scale

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.