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Finding the Fourth Proportional to 256,600.68, 384,860.60 and 85,821.10

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Solution

The fourth proportional to 256,600.68, 384,860.60 and 85,821.10 is: 128,718.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,600.68 : 384,860.60 = 85,821.10 : x
  2. Step 2: Convert to fraction form
    256,600.68/384,860.60 = 85,821.10/x
  3. Step 3: Cross multiply
    256,600.68x = 384,860.60 × 85,821.10
  4. Step 4: Simplify right side
    256,600.68x = 33,029,160,038.66
  5. Step 5: Solve for x
    x = 33,029,160,038.66/256,600.68
  6. Step 6: Final answer
    x = 128,718.13

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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.