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Finding the Fourth Proportional to 456,274.76, 684,183.71 and 140,690.66

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Solution

The fourth proportional to 456,274.76, 684,183.71 and 140,690.66 is: 210,965.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,274.76 : 684,183.71 = 140,690.66 : x
  2. Step 2: Convert to fraction form
    456,274.76/684,183.71 = 140,690.66/x
  3. Step 3: Cross multiply
    456,274.76x = 684,183.71 × 140,690.66
  4. Step 4: Simplify right side
    456,274.76x = 96,258,253,596.78
  5. Step 5: Solve for x
    x = 96,258,253,596.78/456,274.76
  6. Step 6: Final answer
    x = 210,965.55

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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.