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Finding the Fourth Proportional to 410,311.86, 615,461.42 and 210,516.96

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Solution

The fourth proportional to 410,311.86, 615,461.42 and 210,516.96 is: 315,772.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,311.86 : 615,461.42 = 210,516.96 : x
  2. Step 2: Convert to fraction form
    410,311.86/615,461.42 = 210,516.96/x
  3. Step 3: Cross multiply
    410,311.86x = 615,461.42 × 210,516.96
  4. Step 4: Simplify right side
    410,311.86x = 129,565,066,083.10
  5. Step 5: Solve for x
    x = 129,565,066,083.10/410,311.86
  6. Step 6: Final answer
    x = 315,772.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.