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Finding the Fourth Proportional to 507,126.57, 699,881.62 and 280,772.07

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Solution

The fourth proportional to 507,126.57, 699,881.62 and 280,772.07 is: 387,491.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,126.57 : 699,881.62 = 280,772.07 : x
  2. Step 2: Convert to fraction form
    507,126.57/699,881.62 = 280,772.07/x
  3. Step 3: Cross multiply
    507,126.57x = 699,881.62 × 280,772.07
  4. Step 4: Simplify right side
    507,126.57x = 196,507,214,177.88
  5. Step 5: Solve for x
    x = 196,507,214,177.88/507,126.57
  6. Step 6: Final answer
    x = 387,491.46

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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.