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Finding the Fourth Proportional to 320,081.67, 477,205.25 and 311,902.29

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Solution

The fourth proportional to 320,081.67, 477,205.25 and 311,902.29 is: 465,010.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,081.67 : 477,205.25 = 311,902.29 : x
  2. Step 2: Convert to fraction form
    320,081.67/477,205.25 = 311,902.29/x
  3. Step 3: Cross multiply
    320,081.67x = 477,205.25 × 311,902.29
  4. Step 4: Simplify right side
    320,081.67x = 148,841,408,715.51
  5. Step 5: Solve for x
    x = 148,841,408,715.51/320,081.67
  6. Step 6: Final answer
    x = 465,010.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.