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Finding the Fourth Proportional to 376,693.40, 564,165.30 and 257,720.60

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Solution

The fourth proportional to 376,693.40, 564,165.30 and 257,720.60 is: 385,982.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,693.40 : 564,165.30 = 257,720.60 : x
  2. Step 2: Convert to fraction form
    376,693.40/564,165.30 = 257,720.60/x
  3. Step 3: Cross multiply
    376,693.40x = 564,165.30 × 257,720.60
  4. Step 4: Simplify right side
    376,693.40x = 145,397,019,615.18
  5. Step 5: Solve for x
    x = 145,397,019,615.18/376,693.40
  6. Step 6: Final answer
    x = 385,982.39

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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.