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Finding the Fourth Proportional to 385,594.80, 578,177.64 and 119,281.20

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Solution

The fourth proportional to 385,594.80, 578,177.64 and 119,281.20 is: 178,855.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,594.80 : 578,177.64 = 119,281.20 : x
  2. Step 2: Convert to fraction form
    385,594.80/578,177.64 = 119,281.20/x
  3. Step 3: Cross multiply
    385,594.80x = 578,177.64 × 119,281.20
  4. Step 4: Simplify right side
    385,594.80x = 68,965,722,712.37
  5. Step 5: Solve for x
    x = 68,965,722,712.37/385,594.80
  6. Step 6: Final answer
    x = 178,855.43

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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.