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Finding the Fourth Proportional to 357,389, 493,193.17 and 196,242.54

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Solution

The fourth proportional to 357,389, 493,193.17 and 196,242.54 is: 270,812.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,389 : 493,193.17 = 196,242.54 : x
  2. Step 2: Convert to fraction form
    357,389/493,193.17 = 196,242.54/x
  3. Step 3: Cross multiply
    357,389x = 493,193.17 × 196,242.54
  4. Step 4: Simplify right side
    357,389x = 96,785,480,391.45
  5. Step 5: Solve for x
    x = 96,785,480,391.45/357,389
  6. Step 6: Final answer
    x = 270,812.70

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1.5x scale

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.