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Finding the Fourth Proportional to 385,490.80, 577,903.56 and 185,536.09

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Solution

The fourth proportional to 385,490.80, 577,903.56 and 185,536.09 is: 278,144.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,490.80 : 577,903.56 = 185,536.09 : x
  2. Step 2: Convert to fraction form
    385,490.80/577,903.56 = 185,536.09/x
  3. Step 3: Cross multiply
    385,490.80x = 577,903.56 × 185,536.09
  4. Step 4: Simplify right side
    385,490.80x = 107,221,966,919.48
  5. Step 5: Solve for x
    x = 107,221,966,919.48/385,490.80
  6. Step 6: Final answer
    x = 278,144.04

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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.