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Finding the Fourth Proportional to 691,778.90, 954,509.72 and 419,989.88

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Solution

The fourth proportional to 691,778.90, 954,509.72 and 419,989.88 is: 579,497.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,778.90 : 954,509.72 = 419,989.88 : x
  2. Step 2: Convert to fraction form
    691,778.90/954,509.72 = 419,989.88/x
  3. Step 3: Cross multiply
    691,778.90x = 954,509.72 × 419,989.88
  4. Step 4: Simplify right side
    691,778.90x = 400,884,422,761.63
  5. Step 5: Solve for x
    x = 400,884,422,761.63/691,778.90
  6. Step 6: Final answer
    x = 579,497.90

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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.