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Finding the Fourth Proportional to 340,988.92, 470,472.40 and 193,811.72

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Solution

The fourth proportional to 340,988.92, 470,472.40 and 193,811.72 is: 267,407.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,988.92 : 470,472.40 = 193,811.72 : x
  2. Step 2: Convert to fraction form
    340,988.92/470,472.40 = 193,811.72/x
  3. Step 3: Cross multiply
    340,988.92x = 470,472.40 × 193,811.72
  4. Step 4: Simplify right side
    340,988.92x = 91,183,065,056.53
  5. Step 5: Solve for x
    x = 91,183,065,056.53/340,988.92
  6. Step 6: Final answer
    x = 267,407.71

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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.