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Finding the Fourth Proportional to 284,859.30, 427,437.48 and 206,619.36

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Solution

The fourth proportional to 284,859.30, 427,437.48 and 206,619.36 is: 310,036.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,859.30 : 427,437.48 = 206,619.36 : x
  2. Step 2: Convert to fraction form
    284,859.30/427,437.48 = 206,619.36/x
  3. Step 3: Cross multiply
    284,859.30x = 427,437.48 × 206,619.36
  4. Step 4: Simplify right side
    284,859.30x = 88,316,858,557.61
  5. Step 5: Solve for x
    x = 88,316,858,557.61/284,859.30
  6. Step 6: Final answer
    x = 310,036.77

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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.