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Finding the Fourth Proportional to 407,730.90, 611,596.35 and 256,171.80

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Solution

The fourth proportional to 407,730.90, 611,596.35 and 256,171.80 is: 384,257.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,730.90 : 611,596.35 = 256,171.80 : x
  2. Step 2: Convert to fraction form
    407,730.90/611,596.35 = 256,171.80/x
  3. Step 3: Cross multiply
    407,730.90x = 611,596.35 × 256,171.80
  4. Step 4: Simplify right side
    407,730.90x = 156,673,737,852.93
  5. Step 5: Solve for x
    x = 156,673,737,852.93/407,730.90
  6. Step 6: Final answer
    x = 384,257.70

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1.5x scale

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.