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Finding the Fourth Proportional to 311,310.60, 466,965.90 and 185,339.40

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Solution

The fourth proportional to 311,310.60, 466,965.90 and 185,339.40 is: 278,009.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,310.60 : 466,965.90 = 185,339.40 : x
  2. Step 2: Convert to fraction form
    311,310.60/466,965.90 = 185,339.40/x
  3. Step 3: Cross multiply
    311,310.60x = 466,965.90 × 185,339.40
  4. Step 4: Simplify right side
    311,310.60x = 86,547,179,726.46
  5. Step 5: Solve for x
    x = 86,547,179,726.46/311,310.60
  6. Step 6: Final answer
    x = 278,009.10

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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.