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Finding the Fourth Proportional to 508,790.88, 702,096.24 and 282,418.56

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Solution

The fourth proportional to 508,790.88, 702,096.24 and 282,418.56 is: 389,718.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,790.88 : 702,096.24 = 282,418.56 : x
  2. Step 2: Convert to fraction form
    508,790.88/702,096.24 = 282,418.56/x
  3. Step 3: Cross multiply
    508,790.88x = 702,096.24 × 282,418.56
  4. Step 4: Simplify right side
    508,790.88x = 198,285,009,082.21
  5. Step 5: Solve for x
    x = 198,285,009,082.21/508,790.88
  6. Step 6: Final answer
    x = 389,718.09

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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.