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Finding the Fourth Proportional to 228,642.54, 315,538.02 and 137,997.06

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Solution

The fourth proportional to 228,642.54, 315,538.02 and 137,997.06 is: 190,442.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,642.54 : 315,538.02 = 137,997.06 : x
  2. Step 2: Convert to fraction form
    228,642.54/315,538.02 = 137,997.06/x
  3. Step 3: Cross multiply
    228,642.54x = 315,538.02 × 137,997.06
  4. Step 4: Simplify right side
    228,642.54x = 43,543,319,078.22
  5. Step 5: Solve for x
    x = 43,543,319,078.22/228,642.54
  6. Step 6: Final answer
    x = 190,442.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.