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Finding the Fourth Proportional to 503,617, 755,425.98 and 208,136.68

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Solution

The fourth proportional to 503,617, 755,425.98 and 208,136.68 is: 312,205.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,617 : 755,425.98 = 208,136.68 : x
  2. Step 2: Convert to fraction form
    503,617/755,425.98 = 208,136.68/x
  3. Step 3: Cross multiply
    503,617x = 755,425.98 × 208,136.68
  4. Step 4: Simplify right side
    503,617x = 157,231,855,462.95
  5. Step 5: Solve for x
    x = 157,231,855,462.95/503,617
  6. Step 6: Final answer
    x = 312,205.22

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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.