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Finding the Fourth Proportional to 357,822.39, 493,807.89 and 196,689.70

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Solution

The fourth proportional to 357,822.39, 493,807.89 and 196,689.70 is: 271,438.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,822.39 : 493,807.89 = 196,689.70 : x
  2. Step 2: Convert to fraction form
    357,822.39/493,807.89 = 196,689.70/x
  3. Step 3: Cross multiply
    357,822.39x = 493,807.89 × 196,689.70
  4. Step 4: Simplify right side
    357,822.39x = 97,126,925,741.73
  5. Step 5: Solve for x
    x = 97,126,925,741.73/357,822.39
  6. Step 6: Final answer
    x = 271,438.93

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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.