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Finding the Fourth Proportional to 285,051.86, 393,309.10 and 170,313.27

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Solution

The fourth proportional to 285,051.86, 393,309.10 and 170,313.27 is: 234,994.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,051.86 : 393,309.10 = 170,313.27 : x
  2. Step 2: Convert to fraction form
    285,051.86/393,309.10 = 170,313.27/x
  3. Step 3: Cross multiply
    285,051.86x = 393,309.10 × 170,313.27
  4. Step 4: Simplify right side
    285,051.86x = 66,985,757,679.74
  5. Step 5: Solve for x
    x = 66,985,757,679.74/285,051.86
  6. Step 6: Final answer
    x = 234,994.99

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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.