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Finding the Fourth Proportional to 274,061.78, 378,206.78 and 153,208.16

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Solution

The fourth proportional to 274,061.78, 378,206.78 and 153,208.16 is: 211,428.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,061.78 : 378,206.78 = 153,208.16 : x
  2. Step 2: Convert to fraction form
    274,061.78/378,206.78 = 153,208.16/x
  3. Step 3: Cross multiply
    274,061.78x = 378,206.78 × 153,208.16
  4. Step 4: Simplify right side
    274,061.78x = 57,944,364,097.28
  5. Step 5: Solve for x
    x = 57,944,364,097.28/274,061.78
  6. Step 6: Final answer
    x = 211,428.11

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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.