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Finding the Fourth Proportional to 465,728.50, 642,705.34 and 253,760.50

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Solution

The fourth proportional to 465,728.50, 642,705.34 and 253,760.50 is: 350,189.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,728.50 : 642,705.34 = 253,760.50 : x
  2. Step 2: Convert to fraction form
    465,728.50/642,705.34 = 253,760.50/x
  3. Step 3: Cross multiply
    465,728.50x = 642,705.34 × 253,760.50
  4. Step 4: Simplify right side
    465,728.50x = 163,093,228,431.07
  5. Step 5: Solve for x
    x = 163,093,228,431.07/465,728.50
  6. Step 6: Final answer
    x = 350,189.50

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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.