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Finding the Fourth Proportional to 284,562.30, 426,865.05 and 84,867.10

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Solution

The fourth proportional to 284,562.30, 426,865.05 and 84,867.10 is: 127,307.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,562.30 : 426,865.05 = 84,867.10 : x
  2. Step 2: Convert to fraction form
    284,562.30/426,865.05 = 84,867.10/x
  3. Step 3: Cross multiply
    284,562.30x = 426,865.05 × 84,867.10
  4. Step 4: Simplify right side
    284,562.30x = 36,226,798,884.86
  5. Step 5: Solve for x
    x = 36,226,798,884.86/284,562.30
  6. Step 6: Final answer
    x = 127,307.09

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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.