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Finding the Fourth Proportional to 343,356.57, 473,837.74 and 190,401.21

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Solution

The fourth proportional to 343,356.57, 473,837.74 and 190,401.21 is: 262,756.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,356.57 : 473,837.74 = 190,401.21 : x
  2. Step 2: Convert to fraction form
    343,356.57/473,837.74 = 190,401.21/x
  3. Step 3: Cross multiply
    343,356.57x = 473,837.74 × 190,401.21
  4. Step 4: Simplify right side
    343,356.57x = 90,219,278,563.66
  5. Step 5: Solve for x
    x = 90,219,278,563.66/343,356.57
  6. Step 6: Final answer
    x = 262,756.81

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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.