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Finding the Fourth Proportional to 358,806.40, 538,205.28 and 109,489.12

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Solution

The fourth proportional to 358,806.40, 538,205.28 and 109,489.12 is: 164,232.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,806.40 : 538,205.28 = 109,489.12 : x
  2. Step 2: Convert to fraction form
    358,806.40/538,205.28 = 109,489.12/x
  3. Step 3: Cross multiply
    358,806.40x = 538,205.28 × 109,489.12
  4. Step 4: Simplify right side
    358,806.40x = 58,927,622,486.55
  5. Step 5: Solve for x
    x = 58,927,622,486.55/358,806.40
  6. Step 6: Final answer
    x = 164,232.36

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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.