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Finding the Fourth Proportional to 418,663.08, 628,001.76 and 119,151.36

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Solution

The fourth proportional to 418,663.08, 628,001.76 and 119,151.36 is: 178,729.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,663.08 : 628,001.76 = 119,151.36 : x
  2. Step 2: Convert to fraction form
    418,663.08/628,001.76 = 119,151.36/x
  3. Step 3: Cross multiply
    418,663.08x = 628,001.76 × 119,151.36
  4. Step 4: Simplify right side
    418,663.08x = 74,827,263,786.39
  5. Step 5: Solve for x
    x = 74,827,263,786.39/418,663.08
  6. Step 6: Final answer
    x = 178,729.07

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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.