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Finding the Fourth Proportional to 311,934.30, 467,901.45 and 288,314.70

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Solution

The fourth proportional to 311,934.30, 467,901.45 and 288,314.70 is: 432,472.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,934.30 : 467,901.45 = 288,314.70 : x
  2. Step 2: Convert to fraction form
    311,934.30/467,901.45 = 288,314.70/x
  3. Step 3: Cross multiply
    311,934.30x = 467,901.45 × 288,314.70
  4. Step 4: Simplify right side
    311,934.30x = 134,902,866,186.32
  5. Step 5: Solve for x
    x = 134,902,866,186.32/311,934.30
  6. Step 6: Final answer
    x = 432,472.05

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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.