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Finding the Fourth Proportional to 438,086.80, 657,130.20 and 228,134.80

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Solution

The fourth proportional to 438,086.80, 657,130.20 and 228,134.80 is: 342,202.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,086.80 : 657,130.20 = 228,134.80 : x
  2. Step 2: Convert to fraction form
    438,086.80/657,130.20 = 228,134.80/x
  3. Step 3: Cross multiply
    438,086.80x = 657,130.20 × 228,134.80
  4. Step 4: Simplify right side
    438,086.80x = 149,914,266,750.96
  5. Step 5: Solve for x
    x = 149,914,266,750.96/438,086.80
  6. Step 6: Final answer
    x = 342,202.20

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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.