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Finding the Fourth Proportional to 380,327.96, 569,651.02 and 260,099.98

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Solution

The fourth proportional to 380,327.96, 569,651.02 and 260,099.98 is: 389,574.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,327.96 : 569,651.02 = 260,099.98 : x
  2. Step 2: Convert to fraction form
    380,327.96/569,651.02 = 260,099.98/x
  3. Step 3: Cross multiply
    380,327.96x = 569,651.02 × 260,099.98
  4. Step 4: Simplify right side
    380,327.96x = 148,166,218,908.98
  5. Step 5: Solve for x
    x = 148,166,218,908.98/380,327.96
  6. Step 6: Final answer
    x = 389,574.88

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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.