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Finding the Fourth Proportional to 305,345.73, 457,797.15 and 205,257.67

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Solution

The fourth proportional to 305,345.73, 457,797.15 and 205,257.67 is: 307,737.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,345.73 : 457,797.15 = 205,257.67 : x
  2. Step 2: Convert to fraction form
    305,345.73/457,797.15 = 205,257.67/x
  3. Step 3: Cross multiply
    305,345.73x = 457,797.15 × 205,257.67
  4. Step 4: Simplify right side
    305,345.73x = 93,966,376,341.64
  5. Step 5: Solve for x
    x = 93,966,376,341.64/305,345.73
  6. Step 6: Final answer
    x = 307,737.65

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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.