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Finding the Fourth Proportional to 686,142.96, 945,695.12 and 456,289.43

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Solution

The fourth proportional to 686,142.96, 945,695.12 and 456,289.43 is: 628,893.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,142.96 : 945,695.12 = 456,289.43 : x
  2. Step 2: Convert to fraction form
    686,142.96/945,695.12 = 456,289.43/x
  3. Step 3: Cross multiply
    686,142.96x = 945,695.12 × 456,289.43
  4. Step 4: Simplify right side
    686,142.96x = 431,510,680,248.66
  5. Step 5: Solve for x
    x = 431,510,680,248.66/686,142.96
  6. Step 6: Final answer
    x = 628,893.26

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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.