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Finding the Fourth Proportional to 255,020.30, 382,202.40 and 155,074.40

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Solution

The fourth proportional to 255,020.30, 382,202.40 and 155,074.40 is: 232,412.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,020.30 : 382,202.40 = 155,074.40 : x
  2. Step 2: Convert to fraction form
    255,020.30/382,202.40 = 155,074.40/x
  3. Step 3: Cross multiply
    255,020.30x = 382,202.40 × 155,074.40
  4. Step 4: Simplify right side
    255,020.30x = 59,269,807,858.56
  5. Step 5: Solve for x
    x = 59,269,807,858.56/255,020.30
  6. Step 6: Final answer
    x = 232,412.12

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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.