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Finding the Fourth Proportional to 290,103.17, 435,327.28 and 156,980.75

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Solution

The fourth proportional to 290,103.17, 435,327.28 and 156,980.75 is: 235,564.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,103.17 : 435,327.28 = 156,980.75 : x
  2. Step 2: Convert to fraction form
    290,103.17/435,327.28 = 156,980.75/x
  3. Step 3: Cross multiply
    290,103.17x = 435,327.28 × 156,980.75
  4. Step 4: Simplify right side
    290,103.17x = 68,338,000,340.77
  5. Step 5: Solve for x
    x = 68,338,000,340.77/290,103.17
  6. Step 6: Final answer
    x = 235,564.48

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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.