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Finding the Fourth Proportional to 896,385, 1,344,997.13 and 447,140.58

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Solution

The fourth proportional to 896,385, 1,344,997.13 and 447,140.58 is: 670,920.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    896,385 : 1,344,997.13 = 447,140.58 : x
  2. Step 2: Convert to fraction form
    896,385/1,344,997.13 = 447,140.58/x
  3. Step 3: Cross multiply
    896,385x = 1,344,997.13 × 447,140.58
  4. Step 4: Simplify right side
    896,385x = 601,402,796,806.54
  5. Step 5: Solve for x
    x = 601,402,796,806.54/896,385
  6. Step 6: Final answer
    x = 670,920.19

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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.