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Finding the Fourth Proportional to 515,670.77, 711,612 and 286,227.41

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Solution

The fourth proportional to 515,670.77, 711,612 and 286,227.41 is: 394,986.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,670.77 : 711,612 = 286,227.41 : x
  2. Step 2: Convert to fraction form
    515,670.77/711,612 = 286,227.41/x
  3. Step 3: Cross multiply
    515,670.77x = 711,612 × 286,227.41
  4. Step 4: Simplify right side
    515,670.77x = 203,682,856,126.86
  5. Step 5: Solve for x
    x = 203,682,856,126.86/515,670.77
  6. Step 6: Final answer
    x = 394,986.23

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1.5x scale

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.