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Finding the Fourth Proportional to 508,723.80, 763,431.30 and 284,083.80

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Solution

The fourth proportional to 508,723.80, 763,431.30 and 284,083.80 is: 426,318.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,723.80 : 763,431.30 = 284,083.80 : x
  2. Step 2: Convert to fraction form
    508,723.80/763,431.30 = 284,083.80/x
  3. Step 3: Cross multiply
    508,723.80x = 763,431.30 × 284,083.80
  4. Step 4: Simplify right side
    508,723.80x = 216,878,464,742.94
  5. Step 5: Solve for x
    x = 216,878,464,742.94/508,723.80
  6. Step 6: Final answer
    x = 426,318.69

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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.