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Finding the Fourth Proportional to 356,915.12, 493,121.40 and 303,761.84

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Solution

The fourth proportional to 356,915.12, 493,121.40 and 303,761.84 is: 419,683.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,915.12 : 493,121.40 = 303,761.84 : x
  2. Step 2: Convert to fraction form
    356,915.12/493,121.40 = 303,761.84/x
  3. Step 3: Cross multiply
    356,915.12x = 493,121.40 × 303,761.84
  4. Step 4: Simplify right side
    356,915.12x = 149,791,463,807.38
  5. Step 5: Solve for x
    x = 149,791,463,807.38/356,915.12
  6. Step 6: Final answer
    x = 419,683.72

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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.