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Finding the Fourth Proportional to 717,249.89, 989,846.30 and 411,323.82

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Solution

The fourth proportional to 717,249.89, 989,846.30 and 411,323.82 is: 567,650.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,249.89 : 989,846.30 = 411,323.82 : x
  2. Step 2: Convert to fraction form
    717,249.89/989,846.30 = 411,323.82/x
  3. Step 3: Cross multiply
    717,249.89x = 989,846.30 × 411,323.82
  4. Step 4: Simplify right side
    717,249.89x = 407,147,363,056.29
  5. Step 5: Solve for x
    x = 407,147,363,056.29/717,249.89
  6. Step 6: Final answer
    x = 567,650.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.