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Finding the Fourth Proportional to 208,233.90, 312,311.45 and 101,510.73

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Solution

The fourth proportional to 208,233.90, 312,311.45 and 101,510.73 is: 152,246.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,233.90 : 312,311.45 = 101,510.73 : x
  2. Step 2: Convert to fraction form
    208,233.90/312,311.45 = 101,510.73/x
  3. Step 3: Cross multiply
    208,233.90x = 312,311.45 × 101,510.73
  4. Step 4: Simplify right side
    208,233.90x = 31,702,962,769.30
  5. Step 5: Solve for x
    x = 31,702,962,769.30/208,233.90
  6. Step 6: Final answer
    x = 152,246.89

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1.5x scale

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.