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Finding the Fourth Proportional to 284,949.88, 427,463.70 and 118,699

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Solution

The fourth proportional to 284,949.88, 427,463.70 and 118,699 is: 178,064.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,949.88 : 427,463.70 = 118,699 : x
  2. Step 2: Convert to fraction form
    284,949.88/427,463.70 = 118,699/x
  3. Step 3: Cross multiply
    284,949.88x = 427,463.70 × 118,699
  4. Step 4: Simplify right side
    284,949.88x = 50,739,513,726.30
  5. Step 5: Solve for x
    x = 50,739,513,726.30/284,949.88
  6. Step 6: Final answer
    x = 178,064.70

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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.