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Finding the Fourth Proportional to 305,051.70, 420,985.42 and 169,088.56

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Solution

The fourth proportional to 305,051.70, 420,985.42 and 169,088.56 is: 233,350.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,051.70 : 420,985.42 = 169,088.56 : x
  2. Step 2: Convert to fraction form
    305,051.70/420,985.42 = 169,088.56/x
  3. Step 3: Cross multiply
    305,051.70x = 420,985.42 × 169,088.56
  4. Step 4: Simplify right side
    305,051.70x = 71,183,818,448.80
  5. Step 5: Solve for x
    x = 71,183,818,448.80/305,051.70
  6. Step 6: Final answer
    x = 233,350.01

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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.