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Finding the Fourth Proportional to 455,891.34, 683,932.05 and 140,332.62

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Solution

The fourth proportional to 455,891.34, 683,932.05 and 140,332.62 is: 210,528.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,891.34 : 683,932.05 = 140,332.62 : x
  2. Step 2: Convert to fraction form
    455,891.34/683,932.05 = 140,332.62/x
  3. Step 3: Cross multiply
    455,891.34x = 683,932.05 × 140,332.62
  4. Step 4: Simplify right side
    455,891.34x = 95,977,976,478.47
  5. Step 5: Solve for x
    x = 95,977,976,478.47/455,891.34
  6. Step 6: Final answer
    x = 210,528.19

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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.