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Finding the Fourth Proportional to 290,266.62, 435,416.13 and 90,614.58

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Solution

The fourth proportional to 290,266.62, 435,416.13 and 90,614.58 is: 135,926.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,266.62 : 435,416.13 = 90,614.58 : x
  2. Step 2: Convert to fraction form
    290,266.62/435,416.13 = 90,614.58/x
  3. Step 3: Cross multiply
    290,266.62x = 435,416.13 × 90,614.58
  4. Step 4: Simplify right side
    290,266.62x = 39,455,049,745.18
  5. Step 5: Solve for x
    x = 39,455,049,745.18/290,266.62
  6. Step 6: Final answer
    x = 135,926.93

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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.