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Finding the Fourth Proportional to 495,420, 683,806.80 and 301,958.88

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Solution

The fourth proportional to 495,420, 683,806.80 and 301,958.88 is: 416,780.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,420 : 683,806.80 = 301,958.88 : x
  2. Step 2: Convert to fraction form
    495,420/683,806.80 = 301,958.88/x
  3. Step 3: Cross multiply
    495,420x = 683,806.80 × 301,958.88
  4. Step 4: Simplify right side
    495,420x = 206,481,535,464.38
  5. Step 5: Solve for x
    x = 206,481,535,464.38/495,420
  6. Step 6: Final answer
    x = 416,780.78

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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.