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Finding the Fourth Proportional to 385,077.30, 577,599.86 and 100,761.54

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Solution

The fourth proportional to 385,077.30, 577,599.86 and 100,761.54 is: 151,138.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,077.30 : 577,599.86 = 100,761.54 : x
  2. Step 2: Convert to fraction form
    385,077.30/577,599.86 = 100,761.54/x
  3. Step 3: Cross multiply
    385,077.30x = 577,599.86 × 100,761.54
  4. Step 4: Simplify right side
    385,077.30x = 58,199,852,732.29
  5. Step 5: Solve for x
    x = 58,199,852,732.29/385,077.30
  6. Step 6: Final answer
    x = 151,138.10

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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.