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Finding the Fourth Proportional to 385,576.78, 578,392.20 and 119,302.24

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Solution

The fourth proportional to 385,576.78, 578,392.20 and 119,302.24 is: 178,961.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,576.78 : 578,392.20 = 119,302.24 : x
  2. Step 2: Convert to fraction form
    385,576.78/578,392.20 = 119,302.24/x
  3. Step 3: Cross multiply
    385,576.78x = 578,392.20 × 119,302.24
  4. Step 4: Simplify right side
    385,576.78x = 69,003,485,058.53
  5. Step 5: Solve for x
    x = 69,003,485,058.53/385,576.78
  6. Step 6: Final answer
    x = 178,961.72

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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.