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Finding the Fourth Proportional to 311,201.70, 466,802.55 and 86,561.70

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Solution

The fourth proportional to 311,201.70, 466,802.55 and 86,561.70 is: 129,842.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,201.70 : 466,802.55 = 86,561.70 : x
  2. Step 2: Convert to fraction form
    311,201.70/466,802.55 = 86,561.70/x
  3. Step 3: Cross multiply
    311,201.70x = 466,802.55 × 86,561.70
  4. Step 4: Simplify right side
    311,201.70x = 40,407,222,292.34
  5. Step 5: Solve for x
    x = 40,407,222,292.34/311,201.70
  6. Step 6: Final answer
    x = 129,842.55

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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.