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Finding the Fourth Proportional to 268,538.70, 402,462.45 and 205,898.70

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Solution

The fourth proportional to 268,538.70, 402,462.45 and 205,898.70 is: 308,583.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,538.70 : 402,462.45 = 205,898.70 : x
  2. Step 2: Convert to fraction form
    268,538.70/402,462.45 = 205,898.70/x
  3. Step 3: Cross multiply
    268,538.70x = 402,462.45 × 205,898.70
  4. Step 4: Simplify right side
    268,538.70x = 82,866,495,253.82
  5. Step 5: Solve for x
    x = 82,866,495,253.82/268,538.70
  6. Step 6: Final answer
    x = 308,583.07

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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.