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Finding the Fourth Proportional to 273,982, 378,097.38 and 153,128.38

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Solution

The fourth proportional to 273,982, 378,097.38 and 153,128.38 is: 211,318.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,982 : 378,097.38 = 153,128.38 : x
  2. Step 2: Convert to fraction form
    273,982/378,097.38 = 153,128.38/x
  3. Step 3: Cross multiply
    273,982x = 378,097.38 × 153,128.38
  4. Step 4: Simplify right side
    273,982x = 57,897,439,281.64
  5. Step 5: Solve for x
    x = 57,897,439,281.64/273,982
  6. Step 6: Final answer
    x = 211,318.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.