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Finding the Fourth Proportional to 557,082.78, 835,489.47 and 257,275.02

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Solution

The fourth proportional to 557,082.78, 835,489.47 and 257,275.02 is: 385,850.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,082.78 : 835,489.47 = 257,275.02 : x
  2. Step 2: Convert to fraction form
    557,082.78/835,489.47 = 257,275.02/x
  3. Step 3: Cross multiply
    557,082.78x = 835,489.47 × 257,275.02
  4. Step 4: Simplify right side
    557,082.78x = 214,950,570,104.04
  5. Step 5: Solve for x
    x = 214,950,570,104.04/557,082.78
  6. Step 6: Final answer
    x = 385,850.32

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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.