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Finding the Fourth Proportional to 400,699.90, 552,979.07 and 219,419.47

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Solution

The fourth proportional to 400,699.90, 552,979.07 and 219,419.47 is: 302,806.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,699.90 : 552,979.07 = 219,419.47 : x
  2. Step 2: Convert to fraction form
    400,699.90/552,979.07 = 219,419.47/x
  3. Step 3: Cross multiply
    400,699.90x = 552,979.07 × 219,419.47
  4. Step 4: Simplify right side
    400,699.90x = 121,334,374,460.49
  5. Step 5: Solve for x
    x = 121,334,374,460.49/400,699.90
  6. Step 6: Final answer
    x = 302,806.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.