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Finding the Fourth Proportional to 295,707, 408,075.66 and 161,571

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Solution

The fourth proportional to 295,707, 408,075.66 and 161,571 is: 222,967.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,707 : 408,075.66 = 161,571 : x
  2. Step 2: Convert to fraction form
    295,707/408,075.66 = 161,571/x
  3. Step 3: Cross multiply
    295,707x = 408,075.66 × 161,571
  4. Step 4: Simplify right side
    295,707x = 65,933,192,461.86
  5. Step 5: Solve for x
    x = 65,933,192,461.86/295,707
  6. Step 6: Final answer
    x = 222,967.98

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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.