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Finding the Fourth Proportional to 507,126.95, 699,882.14 and 280,772.45

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Solution

The fourth proportional to 507,126.95, 699,882.14 and 280,772.45 is: 387,491.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,126.95 : 699,882.14 = 280,772.45 : x
  2. Step 2: Convert to fraction form
    507,126.95/699,882.14 = 280,772.45/x
  3. Step 3: Cross multiply
    507,126.95x = 699,882.14 × 280,772.45
  4. Step 4: Simplify right side
    507,126.95x = 196,507,621,406.78
  5. Step 5: Solve for x
    x = 196,507,621,406.78/507,126.95
  6. Step 6: Final answer
    x = 387,491.97

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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.