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Finding the Fourth Proportional to 408,561.72, 563,660.40 and 253,441.32

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Solution

The fourth proportional to 408,561.72, 563,660.40 and 253,441.32 is: 349,653.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,561.72 : 563,660.40 = 253,441.32 : x
  2. Step 2: Convert to fraction form
    408,561.72/563,660.40 = 253,441.32/x
  3. Step 3: Cross multiply
    408,561.72x = 563,660.40 × 253,441.32
  4. Step 4: Simplify right side
    408,561.72x = 142,854,835,807.73
  5. Step 5: Solve for x
    x = 142,854,835,807.73/408,561.72
  6. Step 6: Final answer
    x = 349,653.01

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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.