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Finding the Fourth Proportional to 482,682.70, 724,141.11 and 145,703.21

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Solution

The fourth proportional to 482,682.70, 724,141.11 and 145,703.21 is: 218,590.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,682.70 : 724,141.11 = 145,703.21 : x
  2. Step 2: Convert to fraction form
    482,682.70/724,141.11 = 145,703.21/x
  3. Step 3: Cross multiply
    482,682.70x = 724,141.11 × 145,703.21
  4. Step 4: Simplify right side
    482,682.70x = 105,509,682,975.86
  5. Step 5: Solve for x
    x = 105,509,682,975.86/482,682.70
  6. Step 6: Final answer
    x = 218,590.15

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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.