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Finding the Fourth Proportional to 307,956.40, 461,934.60 and 256,116.40

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Solution

The fourth proportional to 307,956.40, 461,934.60 and 256,116.40 is: 384,174.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,956.40 : 461,934.60 = 256,116.40 : x
  2. Step 2: Convert to fraction form
    307,956.40/461,934.60 = 256,116.40/x
  3. Step 3: Cross multiply
    307,956.40x = 461,934.60 × 256,116.40
  4. Step 4: Simplify right side
    307,956.40x = 118,309,026,787.44
  5. Step 5: Solve for x
    x = 118,309,026,787.44/307,956.40
  6. Step 6: Final answer
    x = 384,174.60

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1.5x scale

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.