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Finding the Fourth Proportional to 279,889.62, 420,011.21 and 146,865.34

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Solution

The fourth proportional to 279,889.62, 420,011.21 and 146,865.34 is: 220,390.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,889.62 : 420,011.21 = 146,865.34 : x
  2. Step 2: Convert to fraction form
    279,889.62/420,011.21 = 146,865.34/x
  3. Step 3: Cross multiply
    279,889.62x = 420,011.21 × 146,865.34
  4. Step 4: Simplify right side
    279,889.62x = 61,685,089,160.46
  5. Step 5: Solve for x
    x = 61,685,089,160.46/279,889.62
  6. Step 6: Final answer
    x = 220,390.77

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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.