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Finding the Fourth Proportional to 385,632.11, 577,694.86 and 265,667.87

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Solution

The fourth proportional to 385,632.11, 577,694.86 and 265,667.87 is: 397,982.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,632.11 : 577,694.86 = 265,667.87 : x
  2. Step 2: Convert to fraction form
    385,632.11/577,694.86 = 265,667.87/x
  3. Step 3: Cross multiply
    385,632.11x = 577,694.86 × 265,667.87
  4. Step 4: Simplify right side
    385,632.11x = 153,474,963,074.24
  5. Step 5: Solve for x
    x = 153,474,963,074.24/385,632.11
  6. Step 6: Final answer
    x = 397,982.84

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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.