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Finding the Fourth Proportional to 456,119.10, 684,178.65 and 140,672.70

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Solution

The fourth proportional to 456,119.10, 684,178.65 and 140,672.70 is: 211,009.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,119.10 : 684,178.65 = 140,672.70 : x
  2. Step 2: Convert to fraction form
    456,119.10/684,178.65 = 140,672.70/x
  3. Step 3: Cross multiply
    456,119.10x = 684,178.65 × 140,672.70
  4. Step 4: Simplify right side
    456,119.10x = 96,245,257,977.86
  5. Step 5: Solve for x
    x = 96,245,257,977.86/456,119.10
  6. Step 6: Final answer
    x = 211,009.05

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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.