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Finding the Fourth Proportional to 507,127.45, 699,882.83 and 280,772.95

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Solution

The fourth proportional to 507,127.45, 699,882.83 and 280,772.95 is: 387,492.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,127.45 : 699,882.83 = 280,772.95 : x
  2. Step 2: Convert to fraction form
    507,127.45/699,882.83 = 280,772.95/x
  3. Step 3: Cross multiply
    507,127.45x = 699,882.83 × 280,772.95
  4. Step 4: Simplify right side
    507,127.45x = 196,508,165,429.58
  5. Step 5: Solve for x
    x = 196,508,165,429.58/507,127.45
  6. Step 6: Final answer
    x = 387,492.66

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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.