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Finding the Fourth Proportional to 219,409.38, 329,115.29 and 61,639.20

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Solution

The fourth proportional to 219,409.38, 329,115.29 and 61,639.20 is: 92,459.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,409.38 : 329,115.29 = 61,639.20 : x
  2. Step 2: Convert to fraction form
    219,409.38/329,115.29 = 61,639.20/x
  3. Step 3: Cross multiply
    219,409.38x = 329,115.29 × 61,639.20
  4. Step 4: Simplify right side
    219,409.38x = 20,286,402,875.17
  5. Step 5: Solve for x
    x = 20,286,402,875.17/219,409.38
  6. Step 6: Final answer
    x = 92,459.14

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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.