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Finding the Fourth Proportional to 455,599.80, 683,465.02 and 140,083.20

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Solution

The fourth proportional to 455,599.80, 683,465.02 and 140,083.20 is: 210,144.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,599.80 : 683,465.02 = 140,083.20 : x
  2. Step 2: Convert to fraction form
    455,599.80/683,465.02 = 140,083.20/x
  3. Step 3: Cross multiply
    455,599.80x = 683,465.02 × 140,083.20
  4. Step 4: Simplify right side
    455,599.80x = 95,741,967,089.66
  5. Step 5: Solve for x
    x = 95,741,967,089.66/455,599.80
  6. Step 6: Final answer
    x = 210,144.88

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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.