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Finding the Fourth Proportional to 385,662.18, 578,271.78 and 205,525.83

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Solution

The fourth proportional to 385,662.18, 578,271.78 and 205,525.83 is: 308,170.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,662.18 : 578,271.78 = 205,525.83 : x
  2. Step 2: Convert to fraction form
    385,662.18/578,271.78 = 205,525.83/x
  3. Step 3: Cross multiply
    385,662.18x = 578,271.78 × 205,525.83
  4. Step 4: Simplify right side
    385,662.18x = 118,849,787,550.08
  5. Step 5: Solve for x
    x = 118,849,787,550.08/385,662.18
  6. Step 6: Final answer
    x = 308,170.71

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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.