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Finding the Fourth Proportional to 464,042.88, 640,432.17 and 260,148.78

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Solution

The fourth proportional to 464,042.88, 640,432.17 and 260,148.78 is: 359,035.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,042.88 : 640,432.17 = 260,148.78 : x
  2. Step 2: Convert to fraction form
    464,042.88/640,432.17 = 260,148.78/x
  3. Step 3: Cross multiply
    464,042.88x = 640,432.17 × 260,148.78
  4. Step 4: Simplify right side
    464,042.88x = 166,607,647,698.25
  5. Step 5: Solve for x
    x = 166,607,647,698.25/464,042.88
  6. Step 6: Final answer
    x = 359,035.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.