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Finding the Fourth Proportional to 255,509.37, 382,973.41 and 155,449

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Solution

The fourth proportional to 255,509.37, 382,973.41 and 155,449 is: 232,996.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,509.37 : 382,973.41 = 155,449 : x
  2. Step 2: Convert to fraction form
    255,509.37/382,973.41 = 155,449/x
  3. Step 3: Cross multiply
    255,509.37x = 382,973.41 × 155,449
  4. Step 4: Simplify right side
    255,509.37x = 59,532,833,611.09
  5. Step 5: Solve for x
    x = 59,532,833,611.09/255,509.37
  6. Step 6: Final answer
    x = 232,996.67

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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.