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Finding the Fourth Proportional to 418,203.84, 627,309 and 102,663.48

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Solution

The fourth proportional to 418,203.84, 627,309 and 102,663.48 is: 153,996.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,203.84 : 627,309 = 102,663.48 : x
  2. Step 2: Convert to fraction form
    418,203.84/627,309 = 102,663.48/x
  3. Step 3: Cross multiply
    418,203.84x = 627,309 × 102,663.48
  4. Step 4: Simplify right side
    418,203.84x = 64,401,724,975.32
  5. Step 5: Solve for x
    x = 64,401,724,975.32/418,203.84
  6. Step 6: Final answer
    x = 153,996.02

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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.