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Finding the Fourth Proportional to 286,516.32, 429,366.87 and 211,042.86

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Solution

The fourth proportional to 286,516.32, 429,366.87 and 211,042.86 is: 316,264.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,516.32 : 429,366.87 = 211,042.86 : x
  2. Step 2: Convert to fraction form
    286,516.32/429,366.87 = 211,042.86/x
  3. Step 3: Cross multiply
    286,516.32x = 429,366.87 × 211,042.86
  4. Step 4: Simplify right side
    286,516.32x = 90,614,812,234.05
  5. Step 5: Solve for x
    x = 90,614,812,234.05/286,516.32
  6. Step 6: Final answer
    x = 316,264.05

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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.