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Finding the Fourth Proportional to 290,468.16, 435,690.39 and 100,971.50

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Solution

The fourth proportional to 290,468.16, 435,690.39 and 100,971.50 is: 151,453.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,468.16 : 435,690.39 = 100,971.50 : x
  2. Step 2: Convert to fraction form
    290,468.16/435,690.39 = 100,971.50/x
  3. Step 3: Cross multiply
    290,468.16x = 435,690.39 × 100,971.50
  4. Step 4: Simplify right side
    290,468.16x = 43,992,310,414.08
  5. Step 5: Solve for x
    x = 43,992,310,414.08/290,468.16
  6. Step 6: Final answer
    x = 151,453.12

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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.