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Finding the Fourth Proportional to 290,770.40, 435,897.12 and 113,236.40

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Solution

The fourth proportional to 290,770.40, 435,897.12 and 113,236.40 is: 169,753.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,770.40 : 435,897.12 = 113,236.40 : x
  2. Step 2: Convert to fraction form
    290,770.40/435,897.12 = 113,236.40/x
  3. Step 3: Cross multiply
    290,770.40x = 435,897.12 × 113,236.40
  4. Step 4: Simplify right side
    290,770.40x = 49,359,420,639.17
  5. Step 5: Solve for x
    x = 49,359,420,639.17/290,770.40
  6. Step 6: Final answer
    x = 169,753.94

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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.