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Finding the Fourth Proportional to 407,000.30, 610,500.45 and 111,512.30

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Solution

The fourth proportional to 407,000.30, 610,500.45 and 111,512.30 is: 167,268.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,000.30 : 610,500.45 = 111,512.30 : x
  2. Step 2: Convert to fraction form
    407,000.30/610,500.45 = 111,512.30/x
  3. Step 3: Cross multiply
    407,000.30x = 610,500.45 × 111,512.30
  4. Step 4: Simplify right side
    407,000.30x = 68,078,309,330.54
  5. Step 5: Solve for x
    x = 68,078,309,330.54/407,000.30
  6. Step 6: Final answer
    x = 167,268.45

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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.