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Finding the Fourth Proportional to 290,310.60, 435,465.93 and 90,648.09

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Solution

The fourth proportional to 290,310.60, 435,465.93 and 90,648.09 is: 135,972.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,310.60 : 435,465.93 = 90,648.09 : x
  2. Step 2: Convert to fraction form
    290,310.60/435,465.93 = 90,648.09/x
  3. Step 3: Cross multiply
    290,310.60x = 435,465.93 × 90,648.09
  4. Step 4: Simplify right side
    290,310.60x = 39,474,154,814.57
  5. Step 5: Solve for x
    x = 39,474,154,814.57/290,310.60
  6. Step 6: Final answer
    x = 135,972.14

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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.