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Finding the Fourth Proportional to 298,592.45, 447,445.64 and 219,319.17

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Solution

The fourth proportional to 298,592.45, 447,445.64 and 219,319.17 is: 328,653.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,592.45 : 447,445.64 = 219,319.17 : x
  2. Step 2: Convert to fraction form
    298,592.45/447,445.64 = 219,319.17/x
  3. Step 3: Cross multiply
    298,592.45x = 447,445.64 × 219,319.17
  4. Step 4: Simplify right side
    298,592.45x = 98,133,405,288.32
  5. Step 5: Solve for x
    x = 98,133,405,288.32/298,592.45
  6. Step 6: Final answer
    x = 328,653.34

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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.