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Finding the Fourth Proportional to 719,116.80, 992,578.56 and 417,408

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Solution

The fourth proportional to 719,116.80, 992,578.56 and 417,408 is: 576,137.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,116.80 : 992,578.56 = 417,408 : x
  2. Step 2: Convert to fraction form
    719,116.80/992,578.56 = 417,408/x
  3. Step 3: Cross multiply
    719,116.80x = 992,578.56 × 417,408
  4. Step 4: Simplify right side
    719,116.80x = 414,310,231,572.48
  5. Step 5: Solve for x
    x = 414,310,231,572.48/719,116.80
  6. Step 6: Final answer
    x = 576,137.61

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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.