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Finding the Fourth Proportional to 219,443.34, 302,806.28 and 122,647.40

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Solution

The fourth proportional to 219,443.34, 302,806.28 and 122,647.40 is: 169,239.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,443.34 : 302,806.28 = 122,647.40 : x
  2. Step 2: Convert to fraction form
    219,443.34/302,806.28 = 122,647.40/x
  3. Step 3: Cross multiply
    219,443.34x = 302,806.28 × 122,647.40
  4. Step 4: Simplify right side
    219,443.34x = 37,138,402,873.78
  5. Step 5: Solve for x
    x = 37,138,402,873.78/219,443.34
  6. Step 6: Final answer
    x = 169,239.14

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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.