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Finding the Fourth Proportional to 304,138.64, 419,674.69 and 168,154.22

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Solution

The fourth proportional to 304,138.64, 419,674.69 and 168,154.22 is: 232,032.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,138.64 : 419,674.69 = 168,154.22 : x
  2. Step 2: Convert to fraction form
    304,138.64/419,674.69 = 168,154.22/x
  3. Step 3: Cross multiply
    304,138.64x = 419,674.69 × 168,154.22
  4. Step 4: Simplify right side
    304,138.64x = 70,570,070,150.69
  5. Step 5: Solve for x
    x = 70,570,070,150.69/304,138.64
  6. Step 6: Final answer
    x = 232,032.57

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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.