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Finding the Fourth Proportional to 438,006.63, 656,157.81 and 287,790.51

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Solution

The fourth proportional to 438,006.63, 656,157.81 and 287,790.51 is: 431,125.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,006.63 : 656,157.81 = 287,790.51 : x
  2. Step 2: Convert to fraction form
    438,006.63/656,157.81 = 287,790.51/x
  3. Step 3: Cross multiply
    438,006.63x = 656,157.81 × 287,790.51
  4. Step 4: Simplify right side
    438,006.63x = 188,835,990,780.38
  5. Step 5: Solve for x
    x = 188,835,990,780.38/438,006.63
  6. Step 6: Final answer
    x = 431,125.87

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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.