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Finding the Fourth Proportional to 418,276.16, 627,416.32 and 102,733.12

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Solution

The fourth proportional to 418,276.16, 627,416.32 and 102,733.12 is: 154,100.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,276.16 : 627,416.32 = 102,733.12 : x
  2. Step 2: Convert to fraction form
    418,276.16/627,416.32 = 102,733.12/x
  3. Step 3: Cross multiply
    418,276.16x = 627,416.32 × 102,733.12
  4. Step 4: Simplify right side
    418,276.16x = 64,456,436,092.52
  5. Step 5: Solve for x
    x = 64,456,436,092.52/418,276.16
  6. Step 6: Final answer
    x = 154,100.19

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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.