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Finding the Fourth Proportional to 717,033.64, 989,564.26 and 411,138.48

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Solution

The fourth proportional to 717,033.64, 989,564.26 and 411,138.48 is: 567,404.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,033.64 : 989,564.26 = 411,138.48 : x
  2. Step 2: Convert to fraction form
    717,033.64/989,564.26 = 411,138.48/x
  3. Step 3: Cross multiply
    717,033.64x = 989,564.26 × 411,138.48
  4. Step 4: Simplify right side
    717,033.64x = 406,847,945,718.73
  5. Step 5: Solve for x
    x = 406,847,945,718.73/717,033.64
  6. Step 6: Final answer
    x = 567,404.27

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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.