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Finding the Fourth Proportional to 500,988.84, 691,350.30 and 286,124.46

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Solution

The fourth proportional to 500,988.84, 691,350.30 and 286,124.46 is: 394,843.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,988.84 : 691,350.30 = 286,124.46 : x
  2. Step 2: Convert to fraction form
    500,988.84/691,350.30 = 286,124.46/x
  3. Step 3: Cross multiply
    500,988.84x = 691,350.30 × 286,124.46
  4. Step 4: Simplify right side
    500,988.84x = 197,812,231,258.34
  5. Step 5: Solve for x
    x = 197,812,231,258.34/500,988.84
  6. Step 6: Final answer
    x = 394,843.59

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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.