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Finding the Fourth Proportional to 331,056, 496,681.92 and 190,915.20

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Solution

The fourth proportional to 331,056, 496,681.92 and 190,915.20 is: 286,429.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,056 : 496,681.92 = 190,915.20 : x
  2. Step 2: Convert to fraction form
    331,056/496,681.92 = 190,915.20/x
  3. Step 3: Cross multiply
    331,056x = 496,681.92 × 190,915.20
  4. Step 4: Simplify right side
    331,056x = 94,824,128,093.18
  5. Step 5: Solve for x
    x = 94,824,128,093.18/331,056
  6. Step 6: Final answer
    x = 286,429.27

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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.