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Finding the Fourth Proportional to 286,508.07, 429,354.63 and 211,034.70

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Solution

The fourth proportional to 286,508.07, 429,354.63 and 211,034.70 is: 316,251.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,508.07 : 429,354.63 = 211,034.70 : x
  2. Step 2: Convert to fraction form
    286,508.07/429,354.63 = 211,034.70/x
  3. Step 3: Cross multiply
    286,508.07x = 429,354.63 × 211,034.70
  4. Step 4: Simplify right side
    286,508.07x = 90,608,725,535.66
  5. Step 5: Solve for x
    x = 90,608,725,535.66/286,508.07
  6. Step 6: Final answer
    x = 316,251.91

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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.