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Finding the Fourth Proportional to 656,840.28, 984,864.42 and 257,003.64

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Solution

The fourth proportional to 656,840.28, 984,864.42 and 257,003.64 is: 385,350.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,840.28 : 984,864.42 = 257,003.64 : x
  2. Step 2: Convert to fraction form
    656,840.28/984,864.42 = 257,003.64/x
  3. Step 3: Cross multiply
    656,840.28x = 984,864.42 × 257,003.64
  4. Step 4: Simplify right side
    656,840.28x = 253,113,740,846.49
  5. Step 5: Solve for x
    x = 253,113,740,846.49/656,840.28
  6. Step 6: Final answer
    x = 385,350.52

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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.