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Finding the Fourth Proportional to 418,416.96, 627,619.95 and 102,876.60

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Solution

The fourth proportional to 418,416.96, 627,619.95 and 102,876.60 is: 154,313.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,416.96 : 627,619.95 = 102,876.60 : x
  2. Step 2: Convert to fraction form
    418,416.96/627,619.95 = 102,876.60/x
  3. Step 3: Cross multiply
    418,416.96x = 627,619.95 × 102,876.60
  4. Step 4: Simplify right side
    418,416.96x = 64,567,406,548.17
  5. Step 5: Solve for x
    x = 64,567,406,548.17/418,416.96
  6. Step 6: Final answer
    x = 154,313.55

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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.