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Finding the Fourth Proportional to 228,244.50, 314,978.49 and 127,642.50

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Solution

The fourth proportional to 228,244.50, 314,978.49 and 127,642.50 is: 176,147.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,244.50 : 314,978.49 = 127,642.50 : x
  2. Step 2: Convert to fraction form
    228,244.50/314,978.49 = 127,642.50/x
  3. Step 3: Cross multiply
    228,244.50x = 314,978.49 × 127,642.50
  4. Step 4: Simplify right side
    228,244.50x = 40,204,641,909.83
  5. Step 5: Solve for x
    x = 40,204,641,909.83/228,244.50
  6. Step 6: Final answer
    x = 176,147.25

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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.