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Finding the Fourth Proportional to 438,201.79, 657,574.85 and 280,543.39

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Solution

The fourth proportional to 438,201.79, 657,574.85 and 280,543.39 is: 420,989.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,201.79 : 657,574.85 = 280,543.39 : x
  2. Step 2: Convert to fraction form
    438,201.79/657,574.85 = 280,543.39/x
  3. Step 3: Cross multiply
    438,201.79x = 657,574.85 × 280,543.39
  4. Step 4: Simplify right side
    438,201.79x = 184,478,277,597.74
  5. Step 5: Solve for x
    x = 184,478,277,597.74/438,201.79
  6. Step 6: Final answer
    x = 420,989.33

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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.