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Finding the Fourth Proportional to 412,646.56, 619,148.02 and 223,240.34

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Solution

The fourth proportional to 412,646.56, 619,148.02 and 223,240.34 is: 334,956.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,646.56 : 619,148.02 = 223,240.34 : x
  2. Step 2: Convert to fraction form
    412,646.56/619,148.02 = 223,240.34/x
  3. Step 3: Cross multiply
    412,646.56x = 619,148.02 × 223,240.34
  4. Step 4: Simplify right side
    412,646.56x = 138,218,814,495.13
  5. Step 5: Solve for x
    x = 138,218,814,495.13/412,646.56
  6. Step 6: Final answer
    x = 334,956.90

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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.