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Finding the Fourth Proportional to 255,000.23, 382,150.42 and 161,338.31

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Solution

The fourth proportional to 255,000.23, 382,150.42 and 161,338.31 is: 241,786.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,000.23 : 382,150.42 = 161,338.31 : x
  2. Step 2: Convert to fraction form
    255,000.23/382,150.42 = 161,338.31/x
  3. Step 3: Cross multiply
    255,000.23x = 382,150.42 × 161,338.31
  4. Step 4: Simplify right side
    255,000.23x = 61,655,502,928.59
  5. Step 5: Solve for x
    x = 61,655,502,928.59/255,000.23
  6. Step 6: Final answer
    x = 241,786.07

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1.5x scale

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.