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Finding the Fourth Proportional to 896,389, 1,345,003.14 and 447,144.58

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Solution

The fourth proportional to 896,389, 1,345,003.14 and 447,144.58 is: 670,926.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    896,389 : 1,345,003.14 = 447,144.58 : x
  2. Step 2: Convert to fraction form
    896,389/1,345,003.14 = 447,144.58/x
  3. Step 3: Cross multiply
    896,389x = 1,345,003.14 × 447,144.58
  4. Step 4: Simplify right side
    896,389x = 601,410,864,133.98
  5. Step 5: Solve for x
    x = 601,410,864,133.98/896,389
  6. Step 6: Final answer
    x = 670,926.20

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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.