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Finding the Fourth Proportional to 290,249.08, 435,498.90 and 150,106.12

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Solution

The fourth proportional to 290,249.08, 435,498.90 and 150,106.12 is: 225,223.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,249.08 : 435,498.90 = 150,106.12 : x
  2. Step 2: Convert to fraction form
    290,249.08/435,498.90 = 150,106.12/x
  3. Step 3: Cross multiply
    290,249.08x = 435,498.90 × 150,106.12
  4. Step 4: Simplify right side
    290,249.08x = 65,371,050,143.27
  5. Step 5: Solve for x
    x = 65,371,050,143.27/290,249.08
  6. Step 6: Final answer
    x = 225,223.97

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1.5x scale

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.