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Finding the Fourth Proportional to 343,787.64, 474,419.52 and 190,816.86

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Solution

The fourth proportional to 343,787.64, 474,419.52 and 190,816.86 is: 263,323.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,787.64 : 474,419.52 = 190,816.86 : x
  2. Step 2: Convert to fraction form
    343,787.64/474,419.52 = 190,816.86/x
  3. Step 3: Cross multiply
    343,787.64x = 474,419.52 × 190,816.86
  4. Step 4: Simplify right side
    343,787.64x = 90,527,243,129.11
  5. Step 5: Solve for x
    x = 90,527,243,129.11/343,787.64
  6. Step 6: Final answer
    x = 263,323.15

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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.