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Finding the Fourth Proportional to 305,545.77, 457,833.87 and 205,337.43

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Solution

The fourth proportional to 305,545.77, 457,833.87 and 205,337.43 is: 307,680.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,545.77 : 457,833.87 = 205,337.43 : x
  2. Step 2: Convert to fraction form
    305,545.77/457,833.87 = 205,337.43/x
  3. Step 3: Cross multiply
    305,545.77x = 457,833.87 × 205,337.43
  4. Step 4: Simplify right side
    305,545.77x = 94,010,430,232.75
  5. Step 5: Solve for x
    x = 94,010,430,232.75/305,545.77
  6. Step 6: Final answer
    x = 307,680.35

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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.