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Finding the Fourth Proportional to 210,404.45, 290,358.47 and 119,760.42

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Solution

The fourth proportional to 210,404.45, 290,358.47 and 119,760.42 is: 165,269.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,404.45 : 290,358.47 = 119,760.42 : x
  2. Step 2: Convert to fraction form
    210,404.45/290,358.47 = 119,760.42/x
  3. Step 3: Cross multiply
    210,404.45x = 290,358.47 × 119,760.42
  4. Step 4: Simplify right side
    210,404.45x = 34,773,452,317.76
  5. Step 5: Solve for x
    x = 34,773,452,317.76/210,404.45
  6. Step 6: Final answer
    x = 165,269.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.