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Finding the Fourth Proportional to 253,678.23, 380,242.23 and 127,013.04

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Solution

The fourth proportional to 253,678.23, 380,242.23 and 127,013.04 is: 190,381.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,678.23 : 380,242.23 = 127,013.04 : x
  2. Step 2: Convert to fraction form
    253,678.23/380,242.23 = 127,013.04/x
  3. Step 3: Cross multiply
    253,678.23x = 380,242.23 × 127,013.04
  4. Step 4: Simplify right side
    253,678.23x = 48,295,721,568.68
  5. Step 5: Solve for x
    x = 48,295,721,568.68/253,678.23
  6. Step 6: Final answer
    x = 190,381.81

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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.