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Finding the Fourth Proportional to 285,868.82, 428,715.38 and 197,688.98

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Solution

The fourth proportional to 285,868.82, 428,715.38 and 197,688.98 is: 296,472.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,868.82 : 428,715.38 = 197,688.98 : x
  2. Step 2: Convert to fraction form
    285,868.82/428,715.38 = 197,688.98/x
  3. Step 3: Cross multiply
    285,868.82x = 428,715.38 × 197,688.98
  4. Step 4: Simplify right side
    285,868.82x = 84,752,306,182.51
  5. Step 5: Solve for x
    x = 84,752,306,182.51/285,868.82
  6. Step 6: Final answer
    x = 296,472.72

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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.