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Finding the Fourth Proportional to 409,970.31, 565,759.89 and 228,677.58

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Solution

The fourth proportional to 409,970.31, 565,759.89 and 228,677.58 is: 315,575.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,970.31 : 565,759.89 = 228,677.58 : x
  2. Step 2: Convert to fraction form
    409,970.31/565,759.89 = 228,677.58/x
  3. Step 3: Cross multiply
    409,970.31x = 565,759.89 × 228,677.58
  4. Step 4: Simplify right side
    409,970.31x = 129,376,602,506.27
  5. Step 5: Solve for x
    x = 129,376,602,506.27/409,970.31
  6. Step 6: Final answer
    x = 315,575.54

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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.