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Finding the Fourth Proportional to 294,872.40, 442,308.60 and 289,951.65

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Solution

The fourth proportional to 294,872.40, 442,308.60 and 289,951.65 is: 434,927.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,872.40 : 442,308.60 = 289,951.65 : x
  2. Step 2: Convert to fraction form
    294,872.40/442,308.60 = 289,951.65/x
  3. Step 3: Cross multiply
    294,872.40x = 442,308.60 × 289,951.65
  4. Step 4: Simplify right side
    294,872.40x = 128,248,108,379.19
  5. Step 5: Solve for x
    x = 128,248,108,379.19/294,872.40
  6. Step 6: Final answer
    x = 434,927.48

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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.