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Finding the Fourth Proportional to 409,926.70, 565,699.61 and 228,650.38

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Solution

The fourth proportional to 409,926.70, 565,699.61 and 228,650.38 is: 315,537.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,926.70 : 565,699.61 = 228,650.38 : x
  2. Step 2: Convert to fraction form
    409,926.70/565,699.61 = 228,650.38/x
  3. Step 3: Cross multiply
    409,926.70x = 565,699.61 × 228,650.38
  4. Step 4: Simplify right side
    409,926.70x = 129,347,429,238.76
  5. Step 5: Solve for x
    x = 129,347,429,238.76/409,926.70
  6. Step 6: Final answer
    x = 315,537.94

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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.