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Finding the Fourth Proportional to 464,108.54, 640,458.25 and 257,375.75

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Solution

The fourth proportional to 464,108.54, 640,458.25 and 257,375.75 is: 355,172.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,108.54 : 640,458.25 = 257,375.75 : x
  2. Step 2: Convert to fraction form
    464,108.54/640,458.25 = 257,375.75/x
  3. Step 3: Cross multiply
    464,108.54x = 640,458.25 × 257,375.75
  4. Step 4: Simplify right side
    464,108.54x = 164,838,418,591.71
  5. Step 5: Solve for x
    x = 164,838,418,591.71/464,108.54
  6. Step 6: Final answer
    x = 355,172.13

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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.