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Finding the Fourth Proportional to 362,237.80, 542,838.30 and 266,722.60

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Solution

The fourth proportional to 362,237.80, 542,838.30 and 266,722.60 is: 399,702.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,237.80 : 542,838.30 = 266,722.60 : x
  2. Step 2: Convert to fraction form
    362,237.80/542,838.30 = 266,722.60/x
  3. Step 3: Cross multiply
    362,237.80x = 542,838.30 × 266,722.60
  4. Step 4: Simplify right side
    362,237.80x = 144,787,242,755.58
  5. Step 5: Solve for x
    x = 144,787,242,755.58/362,237.80
  6. Step 6: Final answer
    x = 399,702.19

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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.