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Finding the Fourth Proportional to 384,901.95, 577,155.79 and 205,089.85

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Solution

The fourth proportional to 384,901.95, 577,155.79 and 205,089.85 is: 307,529.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,901.95 : 577,155.79 = 205,089.85 : x
  2. Step 2: Convert to fraction form
    384,901.95/577,155.79 = 205,089.85/x
  3. Step 3: Cross multiply
    384,901.95x = 577,155.79 × 205,089.85
  4. Step 4: Simplify right side
    384,901.95x = 118,368,794,397.73
  5. Step 5: Solve for x
    x = 118,368,794,397.73/384,901.95
  6. Step 6: Final answer
    x = 307,529.73

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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.