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Finding the Fourth Proportional to 211,285.86, 316,214.37 and 205,599.66

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Solution

The fourth proportional to 211,285.86, 316,214.37 and 205,599.66 is: 307,704.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,285.86 : 316,214.37 = 205,599.66 : x
  2. Step 2: Convert to fraction form
    211,285.86/316,214.37 = 205,599.66/x
  3. Step 3: Cross multiply
    211,285.86x = 316,214.37 × 205,599.66
  4. Step 4: Simplify right side
    211,285.86x = 65,013,566,959.11
  5. Step 5: Solve for x
    x = 65,013,566,959.11/211,285.86
  6. Step 6: Final answer
    x = 307,704.30

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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.