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Finding the Fourth Proportional to 311,256.30, 466,884.45 and 258,768.30

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Solution

The fourth proportional to 311,256.30, 466,884.45 and 258,768.30 is: 388,152.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,256.30 : 466,884.45 = 258,768.30 : x
  2. Step 2: Convert to fraction form
    311,256.30/466,884.45 = 258,768.30/x
  3. Step 3: Cross multiply
    311,256.30x = 466,884.45 × 258,768.30
  4. Step 4: Simplify right side
    311,256.30x = 120,814,895,422.94
  5. Step 5: Solve for x
    x = 120,814,895,422.94/311,256.30
  6. Step 6: Final answer
    x = 388,152.45

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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.