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Finding the Fourth Proportional to 305,479.52, 421,399.04 and 178,108.64

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Solution

The fourth proportional to 305,479.52, 421,399.04 and 178,108.64 is: 245,695.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,479.52 : 421,399.04 = 178,108.64 : x
  2. Step 2: Convert to fraction form
    305,479.52/421,399.04 = 178,108.64/x
  3. Step 3: Cross multiply
    305,479.52x = 421,399.04 × 178,108.64
  4. Step 4: Simplify right side
    305,479.52x = 75,054,809,911.71
  5. Step 5: Solve for x
    x = 75,054,809,911.71/305,479.52
  6. Step 6: Final answer
    x = 245,695.06

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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.