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Finding the Fourth Proportional to 503,942, 755,913 and 208,454

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Solution

The fourth proportional to 503,942, 755,913 and 208,454 is: 312,681

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,942 : 755,913 = 208,454 : x
  2. Step 2: Convert to fraction form
    503,942/755,913 = 208,454/x
  3. Step 3: Cross multiply
    503,942x = 755,913 × 208,454
  4. Step 4: Simplify right side
    503,942x = 157,573,088,502
  5. Step 5: Solve for x
    x = 157,573,088,502/503,942
  6. Step 6: Final answer
    x = 312,681

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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.