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Finding the Fourth Proportional to 284,416.90, 426,695.52 and 84,736.50

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Solution

The fourth proportional to 284,416.90, 426,695.52 and 84,736.50 is: 127,125.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,416.90 : 426,695.52 = 84,736.50 : x
  2. Step 2: Convert to fraction form
    284,416.90/426,695.52 = 84,736.50/x
  3. Step 3: Cross multiply
    284,416.90x = 426,695.52 × 84,736.50
  4. Step 4: Simplify right side
    284,416.90x = 36,156,684,930.48
  5. Step 5: Solve for x
    x = 36,156,684,930.48/284,416.90
  6. Step 6: Final answer
    x = 127,125.66

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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.