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Finding the Fourth Proportional to 411,126.83, 616,409.61 and 219,030

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Solution

The fourth proportional to 411,126.83, 616,409.61 and 219,030 is: 328,395.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,126.83 : 616,409.61 = 219,030 : x
  2. Step 2: Convert to fraction form
    411,126.83/616,409.61 = 219,030/x
  3. Step 3: Cross multiply
    411,126.83x = 616,409.61 × 219,030
  4. Step 4: Simplify right side
    411,126.83x = 135,012,196,878.30
  5. Step 5: Solve for x
    x = 135,012,196,878.30/411,126.83
  6. Step 6: Final answer
    x = 328,395.49

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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.