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Finding the Fourth Proportional to 358,913.80, 538,443.60 and 122,280.40

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Solution

The fourth proportional to 358,913.80, 538,443.60 and 122,280.40 is: 183,445.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,913.80 : 538,443.60 = 122,280.40 : x
  2. Step 2: Convert to fraction form
    358,913.80/538,443.60 = 122,280.40/x
  3. Step 3: Cross multiply
    358,913.80x = 538,443.60 × 122,280.40
  4. Step 4: Simplify right side
    358,913.80x = 65,841,098,785.44
  5. Step 5: Solve for x
    x = 65,841,098,785.44/358,913.80
  6. Step 6: Final answer
    x = 183,445.44

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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.