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Finding the Fourth Proportional to 470,480.10, 705,747.20 and 133,494.39

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Solution

The fourth proportional to 470,480.10, 705,747.20 and 133,494.39 is: 200,249.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,480.10 : 705,747.20 = 133,494.39 : x
  2. Step 2: Convert to fraction form
    470,480.10/705,747.20 = 133,494.39/x
  3. Step 3: Cross multiply
    470,480.10x = 705,747.20 × 133,494.39
  4. Step 4: Simplify right side
    470,480.10x = 94,213,291,290.74
  5. Step 5: Solve for x
    x = 94,213,291,290.74/470,480.10
  6. Step 6: Final answer
    x = 200,249.26

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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.