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Finding the Fourth Proportional to 338,663.40, 508,016.22 and 89,345.64

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Solution

The fourth proportional to 338,663.40, 508,016.22 and 89,345.64 is: 134,024.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,663.40 : 508,016.22 = 89,345.64 : x
  2. Step 2: Convert to fraction form
    338,663.40/508,016.22 = 89,345.64/x
  3. Step 3: Cross multiply
    338,663.40x = 508,016.22 × 89,345.64
  4. Step 4: Simplify right side
    338,663.40x = 45,389,034,306.28
  5. Step 5: Solve for x
    x = 45,389,034,306.28/338,663.40
  6. Step 6: Final answer
    x = 134,024.03

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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.