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Finding the Fourth Proportional to 284,815.60, 426,301.80 and 262,697.20

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Solution

The fourth proportional to 284,815.60, 426,301.80 and 262,697.20 is: 393,195.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,815.60 : 426,301.80 = 262,697.20 : x
  2. Step 2: Convert to fraction form
    284,815.60/426,301.80 = 262,697.20/x
  3. Step 3: Cross multiply
    284,815.60x = 426,301.80 × 262,697.20
  4. Step 4: Simplify right side
    284,815.60x = 111,988,289,214.96
  5. Step 5: Solve for x
    x = 111,988,289,214.96/284,815.60
  6. Step 6: Final answer
    x = 393,195.77

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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.