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Finding the Fourth Proportional to 228,307.92, 314,993.52 and 137,691.60

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Solution

The fourth proportional to 228,307.92, 314,993.52 and 137,691.60 is: 189,971.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,307.92 : 314,993.52 = 137,691.60 : x
  2. Step 2: Convert to fraction form
    228,307.92/314,993.52 = 137,691.60/x
  3. Step 3: Cross multiply
    228,307.92x = 314,993.52 × 137,691.60
  4. Step 4: Simplify right side
    228,307.92x = 43,371,961,758.43
  5. Step 5: Solve for x
    x = 43,371,961,758.43/228,307.92
  6. Step 6: Final answer
    x = 189,971.34

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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.