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Finding the Fourth Proportional to 431,006.44, 647,106 and 297,557.32

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Solution

The fourth proportional to 431,006.44, 647,106 and 297,557.32 is: 446,747.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,006.44 : 647,106 = 297,557.32 : x
  2. Step 2: Convert to fraction form
    431,006.44/647,106 = 297,557.32/x
  3. Step 3: Cross multiply
    431,006.44x = 647,106 × 297,557.32
  4. Step 4: Simplify right side
    431,006.44x = 192,551,127,115.92
  5. Step 5: Solve for x
    x = 192,551,127,115.92/431,006.44
  6. Step 6: Final answer
    x = 446,747.68

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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.