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Finding the Fourth Proportional to 228,577.16, 315,438.80 and 137,915.57

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Solution

The fourth proportional to 228,577.16, 315,438.80 and 137,915.57 is: 190,324.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,577.16 : 315,438.80 = 137,915.57 : x
  2. Step 2: Convert to fraction form
    228,577.16/315,438.80 = 137,915.57/x
  3. Step 3: Cross multiply
    228,577.16x = 315,438.80 × 137,915.57
  4. Step 4: Simplify right side
    228,577.16x = 43,503,919,635.34
  5. Step 5: Solve for x
    x = 43,503,919,635.34/228,577.16
  6. Step 6: Final answer
    x = 190,324.88

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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.