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Finding the Fourth Proportional to 311,010.83, 466,121.75 and 140,050.13

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Solution

The fourth proportional to 311,010.83, 466,121.75 and 140,050.13 is: 209,897.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,010.83 : 466,121.75 = 140,050.13 : x
  2. Step 2: Convert to fraction form
    311,010.83/466,121.75 = 140,050.13/x
  3. Step 3: Cross multiply
    311,010.83x = 466,121.75 × 140,050.13
  4. Step 4: Simplify right side
    311,010.83x = 65,280,411,689.84
  5. Step 5: Solve for x
    x = 65,280,411,689.84/311,010.83
  6. Step 6: Final answer
    x = 209,897.55

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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.