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Finding the Fourth Proportional to 686,380.64, 947,193.78 and 376,281.15

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Solution

The fourth proportional to 686,380.64, 947,193.78 and 376,281.15 is: 519,261.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,380.64 : 947,193.78 = 376,281.15 : x
  2. Step 2: Convert to fraction form
    686,380.64/947,193.78 = 376,281.15/x
  3. Step 3: Cross multiply
    686,380.64x = 947,193.78 × 376,281.15
  4. Step 4: Simplify right side
    686,380.64x = 356,411,162,670.33
  5. Step 5: Solve for x
    x = 356,411,162,670.33/686,380.64
  6. Step 6: Final answer
    x = 519,261.68

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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.