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Finding the Fourth Proportional to 358,965.40, 538,443.30 and 109,648.60

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Solution

The fourth proportional to 358,965.40, 538,443.30 and 109,648.60 is: 164,471.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,965.40 : 538,443.30 = 109,648.60 : x
  2. Step 2: Convert to fraction form
    358,965.40/538,443.30 = 109,648.60/x
  3. Step 3: Cross multiply
    358,965.40x = 538,443.30 × 109,648.60
  4. Step 4: Simplify right side
    358,965.40x = 59,039,554,024.38
  5. Step 5: Solve for x
    x = 59,039,554,024.38/358,965.40
  6. Step 6: Final answer
    x = 164,471.43

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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.