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Finding the Fourth Proportional to 472,910.90, 709,367.16 and 378,740.03

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Solution

The fourth proportional to 472,910.90, 709,367.16 and 378,740.03 is: 568,110.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,910.90 : 709,367.16 = 378,740.03 : x
  2. Step 2: Convert to fraction form
    472,910.90/709,367.16 = 378,740.03/x
  3. Step 3: Cross multiply
    472,910.90x = 709,367.16 × 378,740.03
  4. Step 4: Simplify right side
    472,910.90x = 268,665,739,459.42
  5. Step 5: Solve for x
    x = 268,665,739,459.42/472,910.90
  6. Step 6: Final answer
    x = 568,110.69

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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.