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Finding the Fourth Proportional to 438,539.20, 657,808.80 and 383,243.20

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Solution

The fourth proportional to 438,539.20, 657,808.80 and 383,243.20 is: 574,864.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,539.20 : 657,808.80 = 383,243.20 : x
  2. Step 2: Convert to fraction form
    438,539.20/657,808.80 = 383,243.20/x
  3. Step 3: Cross multiply
    438,539.20x = 657,808.80 × 383,243.20
  4. Step 4: Simplify right side
    438,539.20x = 252,100,749,500.16
  5. Step 5: Solve for x
    x = 252,100,749,500.16/438,539.20
  6. Step 6: Final answer
    x = 574,864.80

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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.