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Finding the Fourth Proportional to 418,453.16, 627,668.13 and 152,218.58

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Solution

The fourth proportional to 418,453.16, 627,668.13 and 152,218.58 is: 228,323.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,453.16 : 627,668.13 = 152,218.58 : x
  2. Step 2: Convert to fraction form
    418,453.16/627,668.13 = 152,218.58/x
  3. Step 3: Cross multiply
    418,453.16x = 627,668.13 × 152,218.58
  4. Step 4: Simplify right side
    418,453.16x = 95,542,751,459.86
  5. Step 5: Solve for x
    x = 95,542,751,459.86/418,453.16
  6. Step 6: Final answer
    x = 228,323.65

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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.