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Finding the Fourth Proportional to 508,915.36, 763,520.77 and 205,152.73

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Solution

The fourth proportional to 508,915.36, 763,520.77 and 205,152.73 is: 307,788.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,915.36 : 763,520.77 = 205,152.73 : x
  2. Step 2: Convert to fraction form
    508,915.36/763,520.77 = 205,152.73/x
  3. Step 3: Cross multiply
    508,915.36x = 763,520.77 × 205,152.73
  4. Step 4: Simplify right side
    508,915.36x = 156,638,370,377.20
  5. Step 5: Solve for x
    x = 156,638,370,377.20/508,915.36
  6. Step 6: Final answer
    x = 307,788.65

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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.