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Finding the Fourth Proportional to 285,053.24, 427,727.40 and 206,813.24

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Solution

The fourth proportional to 285,053.24, 427,727.40 and 206,813.24 is: 310,326.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,053.24 : 427,727.40 = 206,813.24 : x
  2. Step 2: Convert to fraction form
    285,053.24/427,727.40 = 206,813.24/x
  3. Step 3: Cross multiply
    285,053.24x = 427,727.40 × 206,813.24
  4. Step 4: Simplify right side
    285,053.24x = 88,459,689,430.78
  5. Step 5: Solve for x
    x = 88,459,689,430.78/285,053.24
  6. Step 6: Final answer
    x = 310,326.90

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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.