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Finding the Fourth Proportional to 510,706.75, 704,780.22 and 284,357.11

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Solution

The fourth proportional to 510,706.75, 704,780.22 and 284,357.11 is: 392,415.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,706.75 : 704,780.22 = 284,357.11 : x
  2. Step 2: Convert to fraction form
    510,706.75/704,780.22 = 284,357.11/x
  3. Step 3: Cross multiply
    510,706.75x = 704,780.22 × 284,357.11
  4. Step 4: Simplify right side
    510,706.75x = 200,409,266,544.36
  5. Step 5: Solve for x
    x = 200,409,266,544.36/510,706.75
  6. Step 6: Final answer
    x = 392,415.54

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1.5x scale

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.