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Finding the Fourth Proportional to 305,603.78, 421,713.27 and 169,631.24

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Solution

The fourth proportional to 305,603.78, 421,713.27 and 169,631.24 is: 234,080.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,603.78 : 421,713.27 = 169,631.24 : x
  2. Step 2: Convert to fraction form
    305,603.78/421,713.27 = 169,631.24/x
  3. Step 3: Cross multiply
    305,603.78x = 421,713.27 × 169,631.24
  4. Step 4: Simplify right side
    305,603.78x = 71,535,742,805.99
  5. Step 5: Solve for x
    x = 71,535,742,805.99/305,603.78
  6. Step 6: Final answer
    x = 234,080.04

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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.