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Finding the Fourth Proportional to 431,760.07, 647,641.32 and 165,602.17

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Solution

The fourth proportional to 431,760.07, 647,641.32 and 165,602.17 is: 248,403.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,760.07 : 647,641.32 = 165,602.17 : x
  2. Step 2: Convert to fraction form
    431,760.07/647,641.32 = 165,602.17/x
  3. Step 3: Cross multiply
    431,760.07x = 647,641.32 × 165,602.17
  4. Step 4: Simplify right side
    431,760.07x = 107,250,803,907.45
  5. Step 5: Solve for x
    x = 107,250,803,907.45/431,760.07
  6. Step 6: Final answer
    x = 248,403.71

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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.