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Finding the Fourth Proportional to 434,006.06, 648,369.39 and 280,956.30

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Solution

The fourth proportional to 434,006.06, 648,369.39 and 280,956.30 is: 419,725.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,006.06 : 648,369.39 = 280,956.30 : x
  2. Step 2: Convert to fraction form
    434,006.06/648,369.39 = 280,956.30/x
  3. Step 3: Cross multiply
    434,006.06x = 648,369.39 × 280,956.30
  4. Step 4: Simplify right side
    434,006.06x = 182,163,464,847.66
  5. Step 5: Solve for x
    x = 182,163,464,847.66/434,006.06
  6. Step 6: Final answer
    x = 419,725.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.