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Finding the Fourth Proportional to 456,142.61, 629,465.72 and 252,188.29

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Solution

The fourth proportional to 456,142.61, 629,465.72 and 252,188.29 is: 348,013.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,142.61 : 629,465.72 = 252,188.29 : x
  2. Step 2: Convert to fraction form
    456,142.61/629,465.72 = 252,188.29/x
  3. Step 3: Cross multiply
    456,142.61x = 629,465.72 × 252,188.29
  4. Step 4: Simplify right side
    456,142.61x = 158,743,880,589.48
  5. Step 5: Solve for x
    x = 158,743,880,589.48/456,142.61
  6. Step 6: Final answer
    x = 348,013.71

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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.