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Finding the Fourth Proportional to 409,125.60, 613,688.40 and 231,978.60

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Solution

The fourth proportional to 409,125.60, 613,688.40 and 231,978.60 is: 347,967.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,125.60 : 613,688.40 = 231,978.60 : x
  2. Step 2: Convert to fraction form
    409,125.60/613,688.40 = 231,978.60/x
  3. Step 3: Cross multiply
    409,125.60x = 613,688.40 × 231,978.60
  4. Step 4: Simplify right side
    409,125.60x = 142,362,575,868.24
  5. Step 5: Solve for x
    x = 142,362,575,868.24/409,125.60
  6. Step 6: Final answer
    x = 347,967.90

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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.