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Finding the Fourth Proportional to 228,493.07, 315,222.74 and 137,797.47

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Solution

The fourth proportional to 228,493.07, 315,222.74 and 137,797.47 is: 190,101.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,493.07 : 315,222.74 = 137,797.47 : x
  2. Step 2: Convert to fraction form
    228,493.07/315,222.74 = 137,797.47/x
  3. Step 3: Cross multiply
    228,493.07x = 315,222.74 × 137,797.47
  4. Step 4: Simplify right side
    228,493.07x = 43,436,895,886.22
  5. Step 5: Solve for x
    x = 43,436,895,886.22/228,493.07
  6. Step 6: Final answer
    x = 190,101.59

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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.