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Finding the Fourth Proportional to 305,338.62, 421,417.73 and 169,416.30

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Solution

The fourth proportional to 305,338.62, 421,417.73 and 169,416.30 is: 233,822.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,338.62 : 421,417.73 = 169,416.30 : x
  2. Step 2: Convert to fraction form
    305,338.62/421,417.73 = 169,416.30/x
  3. Step 3: Cross multiply
    305,338.62x = 421,417.73 × 169,416.30
  4. Step 4: Simplify right side
    305,338.62x = 71,395,032,994.54
  5. Step 5: Solve for x
    x = 71,395,032,994.54/305,338.62
  6. Step 6: Final answer
    x = 233,822.48

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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.