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Finding the Fourth Proportional to 421,300.82, 580,439.04 and 319,474.10

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Solution

The fourth proportional to 421,300.82, 580,439.04 and 319,474.10 is: 440,149.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,300.82 : 580,439.04 = 319,474.10 : x
  2. Step 2: Convert to fraction form
    421,300.82/580,439.04 = 319,474.10/x
  3. Step 3: Cross multiply
    421,300.82x = 580,439.04 × 319,474.10
  4. Step 4: Simplify right side
    421,300.82x = 185,435,239,908.86
  5. Step 5: Solve for x
    x = 185,435,239,908.86/421,300.82
  6. Step 6: Final answer
    x = 440,149.25

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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.