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Finding the Fourth Proportional to 465,603, 642,532.14 and 253,635

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Solution

The fourth proportional to 465,603, 642,532.14 and 253,635 is: 350,016.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,603 : 642,532.14 = 253,635 : x
  2. Step 2: Convert to fraction form
    465,603/642,532.14 = 253,635/x
  3. Step 3: Cross multiply
    465,603x = 642,532.14 × 253,635
  4. Step 4: Simplify right side
    465,603x = 162,968,639,328.90
  5. Step 5: Solve for x
    x = 162,968,639,328.90/465,603
  6. Step 6: Final answer
    x = 350,016.30

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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.