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Finding the Fourth Proportional to 420,361.30, 580,112.58 and 229,385.17

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Solution

The fourth proportional to 420,361.30, 580,112.58 and 229,385.17 is: 316,559.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,361.30 : 580,112.58 = 229,385.17 : x
  2. Step 2: Convert to fraction form
    420,361.30/580,112.58 = 229,385.17/x
  3. Step 3: Cross multiply
    420,361.30x = 580,112.58 × 229,385.17
  4. Step 4: Simplify right side
    420,361.30x = 133,069,222,782.44
  5. Step 5: Solve for x
    x = 133,069,222,782.44/420,361.30
  6. Step 6: Final answer
    x = 316,559.17

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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.