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Finding the Fourth Proportional to 389,438.40, 584,176.80 and 202,814.40

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Solution

The fourth proportional to 389,438.40, 584,176.80 and 202,814.40 is: 304,231.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,438.40 : 584,176.80 = 202,814.40 : x
  2. Step 2: Convert to fraction form
    389,438.40/584,176.80 = 202,814.40/x
  3. Step 3: Cross multiply
    389,438.40x = 584,176.80 × 202,814.40
  4. Step 4: Simplify right side
    389,438.40x = 118,479,467,185.92
  5. Step 5: Solve for x
    x = 118,479,467,185.92/389,438.40
  6. Step 6: Final answer
    x = 304,231.60

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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.