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Finding the Fourth Proportional to 654,778.81, 903,718.92 and 409,877.47

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Solution

The fourth proportional to 654,778.81, 903,718.92 and 409,877.47 is: 565,708.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,778.81 : 903,718.92 = 409,877.47 : x
  2. Step 2: Convert to fraction form
    654,778.81/903,718.92 = 409,877.47/x
  3. Step 3: Cross multiply
    654,778.81x = 903,718.92 × 409,877.47
  4. Step 4: Simplify right side
    654,778.81x = 370,414,024,520.73
  5. Step 5: Solve for x
    x = 370,414,024,520.73/654,778.81
  6. Step 6: Final answer
    x = 565,708.63

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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.