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Finding the Fourth Proportional to 290,213.36, 435,375.72 and 100,666.40

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Solution

The fourth proportional to 290,213.36, 435,375.72 and 100,666.40 is: 151,018.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,213.36 : 435,375.72 = 100,666.40 : x
  2. Step 2: Convert to fraction form
    290,213.36/435,375.72 = 100,666.40/x
  3. Step 3: Cross multiply
    290,213.36x = 435,375.72 × 100,666.40
  4. Step 4: Simplify right side
    290,213.36x = 43,827,706,379.81
  5. Step 5: Solve for x
    x = 43,827,706,379.81/290,213.36
  6. Step 6: Final answer
    x = 151,018.91

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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.