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Finding the Fourth Proportional to 465,727.50, 642,703.95 and 253,759.50

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Solution

The fourth proportional to 465,727.50, 642,703.95 and 253,759.50 is: 350,188.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,727.50 : 642,703.95 = 253,759.50 : x
  2. Step 2: Convert to fraction form
    465,727.50/642,703.95 = 253,759.50/x
  3. Step 3: Cross multiply
    465,727.50x = 642,703.95 × 253,759.50
  4. Step 4: Simplify right side
    465,727.50x = 163,092,233,000.03
  5. Step 5: Solve for x
    x = 163,092,233,000.03/465,727.50
  6. Step 6: Final answer
    x = 350,188.11

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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.