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Finding the Fourth Proportional to 305,051.04, 420,987.15 and 169,101.09

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Solution

The fourth proportional to 305,051.04, 420,987.15 and 169,101.09 is: 233,368.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,051.04 : 420,987.15 = 169,101.09 : x
  2. Step 2: Convert to fraction form
    305,051.04/420,987.15 = 169,101.09/x
  3. Step 3: Cross multiply
    305,051.04x = 420,987.15 × 169,101.09
  4. Step 4: Simplify right side
    305,051.04x = 71,189,385,940.99
  5. Step 5: Solve for x
    x = 71,189,385,940.99/305,051.04
  6. Step 6: Final answer
    x = 233,368.77

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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.