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Finding the Fourth Proportional to 343,781.96, 474,411.76 and 190,811.24

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Solution

The fourth proportional to 343,781.96, 474,411.76 and 190,811.24 is: 263,315.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,781.96 : 474,411.76 = 190,811.24 : x
  2. Step 2: Convert to fraction form
    343,781.96/474,411.76 = 190,811.24/x
  3. Step 3: Cross multiply
    343,781.96x = 474,411.76 × 190,811.24
  4. Step 4: Simplify right side
    343,781.96x = 90,523,093,347.10
  5. Step 5: Solve for x
    x = 90,523,093,347.10/343,781.96
  6. Step 6: Final answer
    x = 263,315.42

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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.