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Finding the Fourth Proportional to 519,221, 716,524.98 and 280,757

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Solution

The fourth proportional to 519,221, 716,524.98 and 280,757 is: 387,444.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,221 : 716,524.98 = 280,757 : x
  2. Step 2: Convert to fraction form
    519,221/716,524.98 = 280,757/x
  3. Step 3: Cross multiply
    519,221x = 716,524.98 × 280,757
  4. Step 4: Simplify right side
    519,221x = 201,169,403,809.86
  5. Step 5: Solve for x
    x = 201,169,403,809.86/519,221
  6. Step 6: Final answer
    x = 387,444.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.