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Finding the Fourth Proportional to 409,273.60, 564,824.32 and 248,143.36

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Solution

The fourth proportional to 409,273.60, 564,824.32 and 248,143.36 is: 342,454.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,273.60 : 564,824.32 = 248,143.36 : x
  2. Step 2: Convert to fraction form
    409,273.60/564,824.32 = 248,143.36/x
  3. Step 3: Cross multiply
    409,273.60x = 564,824.32 × 248,143.36
  4. Step 4: Simplify right side
    409,273.60x = 140,157,404,574.52
  5. Step 5: Solve for x
    x = 140,157,404,574.52/409,273.60
  6. Step 6: Final answer
    x = 342,454.06

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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.