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Finding the Fourth Proportional to 456,278.30, 684,189.03 and 140,694.20

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Solution

The fourth proportional to 456,278.30, 684,189.03 and 140,694.20 is: 210,970.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,278.30 : 684,189.03 = 140,694.20 : x
  2. Step 2: Convert to fraction form
    456,278.30/684,189.03 = 140,694.20/x
  3. Step 3: Cross multiply
    456,278.30x = 684,189.03 × 140,694.20
  4. Step 4: Simplify right side
    456,278.30x = 96,261,428,224.63
  5. Step 5: Solve for x
    x = 96,261,428,224.63/456,278.30
  6. Step 6: Final answer
    x = 210,970.87

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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.