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Finding the Fourth Proportional to 357,868.79, 493,859.51 and 196,724.86

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Solution

The fourth proportional to 357,868.79, 493,859.51 and 196,724.86 is: 271,480.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,868.79 : 493,859.51 = 196,724.86 : x
  2. Step 2: Convert to fraction form
    357,868.79/493,859.51 = 196,724.86/x
  3. Step 3: Cross multiply
    357,868.79x = 493,859.51 × 196,724.86
  4. Step 4: Simplify right side
    357,868.79x = 97,154,442,964.42
  5. Step 5: Solve for x
    x = 97,154,442,964.42/357,868.79
  6. Step 6: Final answer
    x = 271,480.63

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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.