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Finding the Fourth Proportional to 284,521.95, 426,844.89 and 84,858.57

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Solution

The fourth proportional to 284,521.95, 426,844.89 and 84,858.57 is: 127,306.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,521.95 : 426,844.89 = 84,858.57 : x
  2. Step 2: Convert to fraction form
    284,521.95/426,844.89 = 84,858.57/x
  3. Step 3: Cross multiply
    284,521.95x = 426,844.89 × 84,858.57
  4. Step 4: Simplify right side
    284,521.95x = 36,221,446,977.21
  5. Step 5: Solve for x
    x = 36,221,446,977.21/284,521.95
  6. Step 6: Final answer
    x = 127,306.34

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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.