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Finding the Fourth Proportional to 311,854.52, 468,570.06 and 299,243.23

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Solution

The fourth proportional to 311,854.52, 468,570.06 and 299,243.23 is: 449,621.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,854.52 : 468,570.06 = 299,243.23 : x
  2. Step 2: Convert to fraction form
    311,854.52/468,570.06 = 299,243.23/x
  3. Step 3: Cross multiply
    311,854.52x = 468,570.06 × 299,243.23
  4. Step 4: Simplify right side
    311,854.52x = 140,216,418,235.69
  5. Step 5: Solve for x
    x = 140,216,418,235.69/311,854.52
  6. Step 6: Final answer
    x = 449,621.25

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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.