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Finding the Fourth Proportional to 438,201.04, 657,573.72 and 280,542.64

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Solution

The fourth proportional to 438,201.04, 657,573.72 and 280,542.64 is: 420,988.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,201.04 : 657,573.72 = 280,542.64 : x
  2. Step 2: Convert to fraction form
    438,201.04/657,573.72 = 280,542.64/x
  3. Step 3: Cross multiply
    438,201.04x = 657,573.72 × 280,542.64
  4. Step 4: Simplify right side
    438,201.04x = 184,477,467,403.42
  5. Step 5: Solve for x
    x = 184,477,467,403.42/438,201.04
  6. Step 6: Final answer
    x = 420,988.20

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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.