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Finding the Fourth Proportional to 290,250.40, 434,960.24 and 165,333.28

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Solution

The fourth proportional to 290,250.40, 434,960.24 and 165,333.28 is: 247,763.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,250.40 : 434,960.24 = 165,333.28 : x
  2. Step 2: Convert to fraction form
    290,250.40/434,960.24 = 165,333.28/x
  3. Step 3: Cross multiply
    290,250.40x = 434,960.24 × 165,333.28
  4. Step 4: Simplify right side
    290,250.40x = 71,913,403,148.79
  5. Step 5: Solve for x
    x = 71,913,403,148.79/290,250.40
  6. Step 6: Final answer
    x = 247,763.32

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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.