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Finding the Fourth Proportional to 362,225.80, 542,820.30 and 266,710.60

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Solution

The fourth proportional to 362,225.80, 542,820.30 and 266,710.60 is: 399,684.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,225.80 : 542,820.30 = 266,710.60 : x
  2. Step 2: Convert to fraction form
    362,225.80/542,820.30 = 266,710.60/x
  3. Step 3: Cross multiply
    362,225.80x = 542,820.30 × 266,710.60
  4. Step 4: Simplify right side
    362,225.80x = 144,775,927,905.18
  5. Step 5: Solve for x
    x = 144,775,927,905.18/362,225.80
  6. Step 6: Final answer
    x = 399,684.20

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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.