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Finding the Fourth Proportional to 354,741.40, 532,112.10 and 228,770.20

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Solution

The fourth proportional to 354,741.40, 532,112.10 and 228,770.20 is: 343,155.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,741.40 : 532,112.10 = 228,770.20 : x
  2. Step 2: Convert to fraction form
    354,741.40/532,112.10 = 228,770.20/x
  3. Step 3: Cross multiply
    354,741.40x = 532,112.10 × 228,770.20
  4. Step 4: Simplify right side
    354,741.40x = 121,731,391,539.42
  5. Step 5: Solve for x
    x = 121,731,391,539.42/354,741.40
  6. Step 6: Final answer
    x = 343,155.30

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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.