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Finding the Fourth Proportional to 516,915.12, 713,343.29 and 287,467.41

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Solution

The fourth proportional to 516,915.12, 713,343.29 and 287,467.41 is: 396,705.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,915.12 : 713,343.29 = 287,467.41 : x
  2. Step 2: Convert to fraction form
    516,915.12/713,343.29 = 287,467.41/x
  3. Step 3: Cross multiply
    516,915.12x = 713,343.29 × 287,467.41
  4. Step 4: Simplify right side
    516,915.12x = 205,062,946,579.84
  5. Step 5: Solve for x
    x = 205,062,946,579.84/516,915.12
  6. Step 6: Final answer
    x = 396,705.26

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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.