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Finding the Fourth Proportional to 380,416.09, 569,783.06 and 260,188.09

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Solution

The fourth proportional to 380,416.09, 569,783.06 and 260,188.09 is: 389,706.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,416.09 : 569,783.06 = 260,188.09 : x
  2. Step 2: Convert to fraction form
    380,416.09/569,783.06 = 260,188.09/x
  3. Step 3: Cross multiply
    380,416.09x = 569,783.06 × 260,188.09
  4. Step 4: Simplify right side
    380,416.09x = 148,250,764,794.82
  5. Step 5: Solve for x
    x = 148,250,764,794.82/380,416.09
  6. Step 6: Final answer
    x = 389,706.87

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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.