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Finding the Fourth Proportional to 557,380.95, 835,945.52 and 257,697.86

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Solution

The fourth proportional to 557,380.95, 835,945.52 and 257,697.86 is: 386,488.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,380.95 : 835,945.52 = 257,697.86 : x
  2. Step 2: Convert to fraction form
    557,380.95/835,945.52 = 257,697.86/x
  3. Step 3: Cross multiply
    557,380.95x = 835,945.52 × 257,697.86
  4. Step 4: Simplify right side
    557,380.95x = 215,421,366,112.37
  5. Step 5: Solve for x
    x = 215,421,366,112.37/557,380.95
  6. Step 6: Final answer
    x = 386,488.57

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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.