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Finding the Fourth Proportional to 468,100.86, 645,975.54 and 253,240.26

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Solution

The fourth proportional to 468,100.86, 645,975.54 and 253,240.26 is: 349,469.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,100.86 : 645,975.54 = 253,240.26 : x
  2. Step 2: Convert to fraction form
    468,100.86/645,975.54 = 253,240.26/x
  3. Step 3: Cross multiply
    468,100.86x = 645,975.54 × 253,240.26
  4. Step 4: Simplify right side
    468,100.86x = 163,587,013,703.24
  5. Step 5: Solve for x
    x = 163,587,013,703.24/468,100.86
  6. Step 6: Final answer
    x = 349,469.59

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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.