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Finding the Fourth Proportional to 290,562.44, 435,031.70 and 156,964.10

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Solution

The fourth proportional to 290,562.44, 435,031.70 and 156,964.10 is: 235,007.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,562.44 : 435,031.70 = 156,964.10 : x
  2. Step 2: Convert to fraction form
    290,562.44/435,031.70 = 156,964.10/x
  3. Step 3: Cross multiply
    290,562.44x = 435,031.70 × 156,964.10
  4. Step 4: Simplify right side
    290,562.44x = 68,284,356,301.99
  5. Step 5: Solve for x
    x = 68,284,356,301.99/290,562.44
  6. Step 6: Final answer
    x = 235,007.52

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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.