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Finding the Fourth Proportional to 378,001.10, 567,001.65 and 228,701.90

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Solution

The fourth proportional to 378,001.10, 567,001.65 and 228,701.90 is: 343,052.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,001.10 : 567,001.65 = 228,701.90 : x
  2. Step 2: Convert to fraction form
    378,001.10/567,001.65 = 228,701.90/x
  3. Step 3: Cross multiply
    378,001.10x = 567,001.65 × 228,701.90
  4. Step 4: Simplify right side
    378,001.10x = 129,674,354,658.14
  5. Step 5: Solve for x
    x = 129,674,354,658.14/378,001.10
  6. Step 6: Final answer
    x = 343,052.85

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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.