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Finding the Fourth Proportional to 284,287.60, 425,869.80 and 184,517.20

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Solution

The fourth proportional to 284,287.60, 425,869.80 and 184,517.20 is: 276,411.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,287.60 : 425,869.80 = 184,517.20 : x
  2. Step 2: Convert to fraction form
    284,287.60/425,869.80 = 184,517.20/x
  3. Step 3: Cross multiply
    284,287.60x = 425,869.80 × 184,517.20
  4. Step 4: Simplify right side
    284,287.60x = 78,580,303,060.56
  5. Step 5: Solve for x
    x = 78,580,303,060.56/284,287.60
  6. Step 6: Final answer
    x = 276,411.29

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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.