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Finding the Fourth Proportional to 291,573.73, 402,506.82 and 205,602.76

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Solution

The fourth proportional to 291,573.73, 402,506.82 and 205,602.76 is: 283,827.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,573.73 : 402,506.82 = 205,602.76 : x
  2. Step 2: Convert to fraction form
    291,573.73/402,506.82 = 205,602.76/x
  3. Step 3: Cross multiply
    291,573.73x = 402,506.82 × 205,602.76
  4. Step 4: Simplify right side
    291,573.73x = 82,756,511,098.29
  5. Step 5: Solve for x
    x = 82,756,511,098.29/291,573.73
  6. Step 6: Final answer
    x = 283,827.05

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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.