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Finding the Fourth Proportional to 290,198.08, 435,285.78 and 79,830.28

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Solution

The fourth proportional to 290,198.08, 435,285.78 and 79,830.28 is: 119,742.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,198.08 : 435,285.78 = 79,830.28 : x
  2. Step 2: Convert to fraction form
    290,198.08/435,285.78 = 79,830.28/x
  3. Step 3: Cross multiply
    290,198.08x = 435,285.78 × 79,830.28
  4. Step 4: Simplify right side
    290,198.08x = 34,748,985,697.42
  5. Step 5: Solve for x
    x = 34,748,985,697.42/290,198.08
  6. Step 6: Final answer
    x = 119,742.30

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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.