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Finding the Fourth Proportional to 418,174.69, 627,462.89 and 228,627.40

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Solution

The fourth proportional to 418,174.69, 627,462.89 and 228,627.40 is: 343,050.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,174.69 : 627,462.89 = 228,627.40 : x
  2. Step 2: Convert to fraction form
    418,174.69/627,462.89 = 228,627.40/x
  3. Step 3: Cross multiply
    418,174.69x = 627,462.89 × 228,627.40
  4. Step 4: Simplify right side
    418,174.69x = 143,455,209,137.19
  5. Step 5: Solve for x
    x = 143,455,209,137.19/418,174.69
  6. Step 6: Final answer
    x = 343,050.91

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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.