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Finding the Fourth Proportional to 317,825.40, 476,300.70 and 210,905.40

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Solution

The fourth proportional to 317,825.40, 476,300.70 and 210,905.40 is: 316,067.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,825.40 : 476,300.70 = 210,905.40 : x
  2. Step 2: Convert to fraction form
    317,825.40/476,300.70 = 210,905.40/x
  3. Step 3: Cross multiply
    317,825.40x = 476,300.70 × 210,905.40
  4. Step 4: Simplify right side
    317,825.40x = 100,454,389,653.78
  5. Step 5: Solve for x
    x = 100,454,389,653.78/317,825.40
  6. Step 6: Final answer
    x = 316,067.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.