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Finding the Fourth Proportional to 208,117.70, 312,176.55 and 205,007.30

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Solution

The fourth proportional to 208,117.70, 312,176.55 and 205,007.30 is: 307,510.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,117.70 : 312,176.55 = 205,007.30 : x
  2. Step 2: Convert to fraction form
    208,117.70/312,176.55 = 205,007.30/x
  3. Step 3: Cross multiply
    208,117.70x = 312,176.55 × 205,007.30
  4. Step 4: Simplify right side
    208,117.70x = 63,998,471,638.82
  5. Step 5: Solve for x
    x = 63,998,471,638.82/208,117.70
  6. Step 6: Final answer
    x = 307,510.95

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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.