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Finding the Fourth Proportional to 713,714, 984,925.32 and 395,762

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Solution

The fourth proportional to 713,714, 984,925.32 and 395,762 is: 546,151.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,714 : 984,925.32 = 395,762 : x
  2. Step 2: Convert to fraction form
    713,714/984,925.32 = 395,762/x
  3. Step 3: Cross multiply
    713,714x = 984,925.32 × 395,762
  4. Step 4: Simplify right side
    713,714x = 389,796,014,493.84
  5. Step 5: Solve for x
    x = 389,796,014,493.84/713,714
  6. Step 6: Final answer
    x = 546,151.56

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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.