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Finding the Fourth Proportional to 456,062.45, 684,204.39 and 140,519.34

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Solution

The fourth proportional to 456,062.45, 684,204.39 and 140,519.34 is: 210,813.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,062.45 : 684,204.39 = 140,519.34 : x
  2. Step 2: Convert to fraction form
    456,062.45/684,204.39 = 140,519.34/x
  3. Step 3: Cross multiply
    456,062.45x = 684,204.39 × 140,519.34
  4. Step 4: Simplify right side
    456,062.45x = 96,143,949,307.90
  5. Step 5: Solve for x
    x = 96,143,949,307.90/456,062.45
  6. Step 6: Final answer
    x = 210,813.13

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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.