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Finding the Fourth Proportional to 510,381.50, 704,326.48 and 284,027.18

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Solution

The fourth proportional to 510,381.50, 704,326.48 and 284,027.18 is: 391,957.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,381.50 : 704,326.48 = 284,027.18 : x
  2. Step 2: Convert to fraction form
    510,381.50/704,326.48 = 284,027.18/x
  3. Step 3: Cross multiply
    510,381.50x = 704,326.48 × 284,027.18
  4. Step 4: Simplify right side
    510,381.50x = 200,047,863,913.73
  5. Step 5: Solve for x
    x = 200,047,863,913.73/510,381.50
  6. Step 6: Final answer
    x = 391,957.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.