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Finding the Fourth Proportional to 284,658.10, 426,972.58 and 84,980.14

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Solution

The fourth proportional to 284,658.10, 426,972.58 and 84,980.14 is: 127,465.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,658.10 : 426,972.58 = 84,980.14 : x
  2. Step 2: Convert to fraction form
    284,658.10/426,972.58 = 84,980.14/x
  3. Step 3: Cross multiply
    284,658.10x = 426,972.58 × 84,980.14
  4. Step 4: Simplify right side
    284,658.10x = 36,284,189,624.56
  5. Step 5: Solve for x
    x = 36,284,189,624.56/284,658.10
  6. Step 6: Final answer
    x = 127,465.86

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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.