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Finding the Fourth Proportional to 438,002.40, 657,003.60 and 383,764.80

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Solution

The fourth proportional to 438,002.40, 657,003.60 and 383,764.80 is: 575,647.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,002.40 : 657,003.60 = 383,764.80 : x
  2. Step 2: Convert to fraction form
    438,002.40/657,003.60 = 383,764.80/x
  3. Step 3: Cross multiply
    438,002.40x = 657,003.60 × 383,764.80
  4. Step 4: Simplify right side
    438,002.40x = 252,134,855,153.28
  5. Step 5: Solve for x
    x = 252,134,855,153.28/438,002.40
  6. Step 6: Final answer
    x = 575,647.20

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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.