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Finding the Fourth Proportional to 297,872.40, 447,730.20 and 292,342.80

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Solution

The fourth proportional to 297,872.40, 447,730.20 and 292,342.80 is: 439,418.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,872.40 : 447,730.20 = 292,342.80 : x
  2. Step 2: Convert to fraction form
    297,872.40/447,730.20 = 292,342.80/x
  3. Step 3: Cross multiply
    297,872.40x = 447,730.20 × 292,342.80
  4. Step 4: Simplify right side
    297,872.40x = 130,890,700,312.56
  5. Step 5: Solve for x
    x = 130,890,700,312.56/297,872.40
  6. Step 6: Final answer
    x = 439,418.69

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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.