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Finding the Fourth Proportional to 255,064.60, 382,136.10 and 218,200.60

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Solution

The fourth proportional to 255,064.60, 382,136.10 and 218,200.60 is: 326,906.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,064.60 : 382,136.10 = 218,200.60 : x
  2. Step 2: Convert to fraction form
    255,064.60/382,136.10 = 218,200.60/x
  3. Step 3: Cross multiply
    255,064.60x = 382,136.10 × 218,200.60
  4. Step 4: Simplify right side
    255,064.60x = 83,382,326,301.66
  5. Step 5: Solve for x
    x = 83,382,326,301.66/255,064.60
  6. Step 6: Final answer
    x = 326,906.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.