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Finding the Fourth Proportional to 507,747.64, 700,679.82 and 281,388.28

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Solution

The fourth proportional to 507,747.64, 700,679.82 and 281,388.28 is: 388,309.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,747.64 : 700,679.82 = 281,388.28 : x
  2. Step 2: Convert to fraction form
    507,747.64/700,679.82 = 281,388.28/x
  3. Step 3: Cross multiply
    507,747.64x = 700,679.82 × 281,388.28
  4. Step 4: Simplify right side
    507,747.64x = 197,163,089,380.51
  5. Step 5: Solve for x
    x = 197,163,089,380.51/507,747.64
  6. Step 6: Final answer
    x = 388,309.22

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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.