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Finding the Fourth Proportional to 290,089.62, 435,028.12 and 100,501.02

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Solution

The fourth proportional to 290,089.62, 435,028.12 and 100,501.02 is: 150,714.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,089.62 : 435,028.12 = 100,501.02 : x
  2. Step 2: Convert to fraction form
    290,089.62/435,028.12 = 100,501.02/x
  3. Step 3: Cross multiply
    290,089.62x = 435,028.12 × 100,501.02
  4. Step 4: Simplify right side
    290,089.62x = 43,720,769,537.43
  5. Step 5: Solve for x
    x = 43,720,769,537.43/290,089.62
  6. Step 6: Final answer
    x = 150,714.70

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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.