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Finding the Fourth Proportional to 357,730.70, 493,645.08 and 204,770.12

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Solution

The fourth proportional to 357,730.70, 493,645.08 and 204,770.12 is: 282,569.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,730.70 : 493,645.08 = 204,770.12 : x
  2. Step 2: Convert to fraction form
    357,730.70/493,645.08 = 204,770.12/x
  3. Step 3: Cross multiply
    357,730.70x = 493,645.08 × 204,770.12
  4. Step 4: Simplify right side
    357,730.70x = 101,083,762,269.01
  5. Step 5: Solve for x
    x = 101,083,762,269.01/357,730.70
  6. Step 6: Final answer
    x = 282,569.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.