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Finding the Fourth Proportional to 314,204.80, 471,307.20 and 188,233.60

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Solution

The fourth proportional to 314,204.80, 471,307.20 and 188,233.60 is: 282,350.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,204.80 : 471,307.20 = 188,233.60 : x
  2. Step 2: Convert to fraction form
    314,204.80/471,307.20 = 188,233.60/x
  3. Step 3: Cross multiply
    314,204.80x = 471,307.20 × 188,233.60
  4. Step 4: Simplify right side
    314,204.80x = 88,715,850,961.92
  5. Step 5: Solve for x
    x = 88,715,850,961.92/314,204.80
  6. Step 6: Final answer
    x = 282,350.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.