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Finding the Fourth Proportional to 385,009.31, 577,469.84 and 100,727.30

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Solution

The fourth proportional to 385,009.31, 577,469.84 and 100,727.30 is: 151,079.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,009.31 : 577,469.84 = 100,727.30 : x
  2. Step 2: Convert to fraction form
    385,009.31/577,469.84 = 100,727.30/x
  3. Step 3: Cross multiply
    385,009.31x = 577,469.84 × 100,727.30
  4. Step 4: Simplify right side
    385,009.31x = 58,166,974,423.65
  5. Step 5: Solve for x
    x = 58,166,974,423.65/385,009.31
  6. Step 6: Final answer
    x = 151,079.40

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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.