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Finding the Fourth Proportional to 456,143.40, 684,150.30 and 140,632.20

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Solution

The fourth proportional to 456,143.40, 684,150.30 and 140,632.20 is: 210,928.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,143.40 : 684,150.30 = 140,632.20 : x
  2. Step 2: Convert to fraction form
    456,143.40/684,150.30 = 140,632.20/x
  3. Step 3: Cross multiply
    456,143.40x = 684,150.30 × 140,632.20
  4. Step 4: Simplify right side
    456,143.40x = 96,213,561,819.66
  5. Step 5: Solve for x
    x = 96,213,561,819.66/456,143.40
  6. Step 6: Final answer
    x = 210,928.32

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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.