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Finding the Fourth Proportional to 311,320.10, 466,980.15 and 185,348.90

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Solution

The fourth proportional to 311,320.10, 466,980.15 and 185,348.90 is: 278,023.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,320.10 : 466,980.15 = 185,348.90 : x
  2. Step 2: Convert to fraction form
    311,320.10/466,980.15 = 185,348.90/x
  3. Step 3: Cross multiply
    311,320.10x = 466,980.15 × 185,348.90
  4. Step 4: Simplify right side
    311,320.10x = 86,554,257,124.34
  5. Step 5: Solve for x
    x = 86,554,257,124.34/311,320.10
  6. Step 6: Final answer
    x = 278,023.35

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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.