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Finding the Fourth Proportional to 302,416.74, 417,329.01 and 189,301.86

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Solution

The fourth proportional to 302,416.74, 417,329.01 and 189,301.86 is: 261,232.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,416.74 : 417,329.01 = 189,301.86 : x
  2. Step 2: Convert to fraction form
    302,416.74/417,329.01 = 189,301.86/x
  3. Step 3: Cross multiply
    302,416.74x = 417,329.01 × 189,301.86
  4. Step 4: Simplify right side
    302,416.74x = 79,001,157,824.96
  5. Step 5: Solve for x
    x = 79,001,157,824.96/302,416.74
  6. Step 6: Final answer
    x = 261,232.75

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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.