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Finding the Fourth Proportional to 513,469.98, 708,534.05 and 283,990.80

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Solution

The fourth proportional to 513,469.98, 708,534.05 and 283,990.80 is: 391,877.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,469.98 : 708,534.05 = 283,990.80 : x
  2. Step 2: Convert to fraction form
    513,469.98/708,534.05 = 283,990.80/x
  3. Step 3: Cross multiply
    513,469.98x = 708,534.05 × 283,990.80
  4. Step 4: Simplify right side
    513,469.98x = 201,217,152,396.72
  5. Step 5: Solve for x
    x = 201,217,152,396.72/513,469.98
  6. Step 6: Final answer
    x = 391,877.15

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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.