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Finding the Fourth Proportional to 357,430.42, 493,255.64 and 204,470.29

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Solution

The fourth proportional to 357,430.42, 493,255.64 and 204,470.29 is: 282,169.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,430.42 : 493,255.64 = 204,470.29 : x
  2. Step 2: Convert to fraction form
    357,430.42/493,255.64 = 204,470.29/x
  3. Step 3: Cross multiply
    357,430.42x = 493,255.64 × 204,470.29
  4. Step 4: Simplify right side
    357,430.42x = 100,856,121,499.45
  5. Step 5: Solve for x
    x = 100,856,121,499.45/357,430.42
  6. Step 6: Final answer
    x = 282,169.95

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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.