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Finding the Fourth Proportional to 465,727, 642,703.26 and 253,759

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Solution

The fourth proportional to 465,727, 642,703.26 and 253,759 is: 350,187.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,727 : 642,703.26 = 253,759 : x
  2. Step 2: Convert to fraction form
    465,727/642,703.26 = 253,759/x
  3. Step 3: Cross multiply
    465,727x = 642,703.26 × 253,759
  4. Step 4: Simplify right side
    465,727x = 163,091,736,554.34
  5. Step 5: Solve for x
    x = 163,091,736,554.34/465,727
  6. Step 6: Final answer
    x = 350,187.42

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1.5x scale

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.