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Finding the Fourth Proportional to 334,938.80, 502,408.20 and 311,319.20

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Solution

The fourth proportional to 334,938.80, 502,408.20 and 311,319.20 is: 466,978.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,938.80 : 502,408.20 = 311,319.20 : x
  2. Step 2: Convert to fraction form
    334,938.80/502,408.20 = 311,319.20/x
  3. Step 3: Cross multiply
    334,938.80x = 502,408.20 × 311,319.20
  4. Step 4: Simplify right side
    334,938.80x = 156,409,318,897.44
  5. Step 5: Solve for x
    x = 156,409,318,897.44/334,938.80
  6. Step 6: Final answer
    x = 466,978.80

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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.