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Finding the Fourth Proportional to 304,951.76, 420,308.02 and 202,794.63

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Solution

The fourth proportional to 304,951.76, 420,308.02 and 202,794.63 is: 279,507.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,951.76 : 420,308.02 = 202,794.63 : x
  2. Step 2: Convert to fraction form
    304,951.76/420,308.02 = 202,794.63/x
  3. Step 3: Cross multiply
    304,951.76x = 420,308.02 × 202,794.63
  4. Step 4: Simplify right side
    304,951.76x = 85,236,209,401.93
  5. Step 5: Solve for x
    x = 85,236,209,401.93/304,951.76
  6. Step 6: Final answer
    x = 279,507.19

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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.