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Finding the Fourth Proportional to 284,909.52, 427,247.64 and 127,030

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Solution

The fourth proportional to 284,909.52, 427,247.64 and 127,030 is: 190,492.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,909.52 : 427,247.64 = 127,030 : x
  2. Step 2: Convert to fraction form
    284,909.52/427,247.64 = 127,030/x
  3. Step 3: Cross multiply
    284,909.52x = 427,247.64 × 127,030
  4. Step 4: Simplify right side
    284,909.52x = 54,273,267,709.20
  5. Step 5: Solve for x
    x = 54,273,267,709.20/284,909.52
  6. Step 6: Final answer
    x = 190,492.99

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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.