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Finding the Fourth Proportional to 420,361.16, 580,093.58 and 229,377.74

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Solution

The fourth proportional to 420,361.16, 580,093.58 and 229,377.74 is: 316,538.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,361.16 : 580,093.58 = 229,377.74 : x
  2. Step 2: Convert to fraction form
    420,361.16/580,093.58 = 229,377.74/x
  3. Step 3: Cross multiply
    420,361.16x = 580,093.58 × 229,377.74
  4. Step 4: Simplify right side
    420,361.16x = 133,060,552,041.89
  5. Step 5: Solve for x
    x = 133,060,552,041.89/420,361.16
  6. Step 6: Final answer
    x = 316,538.65

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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.