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Finding the Fourth Proportional to 361,705.80, 542,040.30 and 266,190.60

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Solution

The fourth proportional to 361,705.80, 542,040.30 and 266,190.60 is: 398,904.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,705.80 : 542,040.30 = 266,190.60 : x
  2. Step 2: Convert to fraction form
    361,705.80/542,040.30 = 266,190.60/x
  3. Step 3: Cross multiply
    361,705.80x = 542,040.30 × 266,190.60
  4. Step 4: Simplify right side
    361,705.80x = 144,286,032,681.18
  5. Step 5: Solve for x
    x = 144,286,032,681.18/361,705.80
  6. Step 6: Final answer
    x = 398,904.39

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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.