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Finding the Fourth Proportional to 381,370.49, 572,241.63 and 156,798.40

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Solution

The fourth proportional to 381,370.49, 572,241.63 and 156,798.40 is: 235,274.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,370.49 : 572,241.63 = 156,798.40 : x
  2. Step 2: Convert to fraction form
    381,370.49/572,241.63 = 156,798.40/x
  3. Step 3: Cross multiply
    381,370.49x = 572,241.63 × 156,798.40
  4. Step 4: Simplify right side
    381,370.49x = 89,726,571,997.39
  5. Step 5: Solve for x
    x = 89,726,571,997.39/381,370.49
  6. Step 6: Final answer
    x = 235,274.03

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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.