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Finding the Fourth Proportional to 387,766.53, 535,167.68 and 218,033.46

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Solution

The fourth proportional to 387,766.53, 535,167.68 and 218,033.46 is: 300,914.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,766.53 : 535,167.68 = 218,033.46 : x
  2. Step 2: Convert to fraction form
    387,766.53/535,167.68 = 218,033.46/x
  3. Step 3: Cross multiply
    387,766.53x = 535,167.68 × 218,033.46
  4. Step 4: Simplify right side
    387,766.53x = 116,684,459,860.41
  5. Step 5: Solve for x
    x = 116,684,459,860.41/387,766.53
  6. Step 6: Final answer
    x = 300,914.21

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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.