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Finding the Fourth Proportional to 385,162.32, 577,625.76 and 135,786

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Solution

The fourth proportional to 385,162.32, 577,625.76 and 135,786 is: 203,637.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,162.32 : 577,625.76 = 135,786 : x
  2. Step 2: Convert to fraction form
    385,162.32/577,625.76 = 135,786/x
  3. Step 3: Cross multiply
    385,162.32x = 577,625.76 × 135,786
  4. Step 4: Simplify right side
    385,162.32x = 78,433,491,447.36
  5. Step 5: Solve for x
    x = 78,433,491,447.36/385,162.32
  6. Step 6: Final answer
    x = 203,637.50

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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.