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Finding the Fourth Proportional to 294,833.40, 442,250.10 and 289,912.65

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Solution

The fourth proportional to 294,833.40, 442,250.10 and 289,912.65 is: 434,868.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,833.40 : 442,250.10 = 289,912.65 : x
  2. Step 2: Convert to fraction form
    294,833.40/442,250.10 = 289,912.65/x
  3. Step 3: Cross multiply
    294,833.40x = 442,250.10 × 289,912.65
  4. Step 4: Simplify right side
    294,833.40x = 128,213,898,453.77
  5. Step 5: Solve for x
    x = 128,213,898,453.77/294,833.40
  6. Step 6: Final answer
    x = 434,868.98

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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.