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Finding the Fourth Proportional to 420,361.71, 580,113.15 and 229,385.58

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Solution

The fourth proportional to 420,361.71, 580,113.15 and 229,385.58 is: 316,559.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,361.71 : 580,113.15 = 229,385.58 : x
  2. Step 2: Convert to fraction form
    420,361.71/580,113.15 = 229,385.58/x
  3. Step 3: Cross multiply
    420,361.71x = 580,113.15 × 229,385.58
  4. Step 4: Simplify right side
    420,361.71x = 133,069,591,378.38
  5. Step 5: Solve for x
    x = 133,069,591,378.38/420,361.71
  6. Step 6: Final answer
    x = 316,559.73

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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.