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Finding the Fourth Proportional to 302,675.92, 417,492.78 and 189,301.84

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Solution

The fourth proportional to 302,675.92, 417,492.78 and 189,301.84 is: 261,111.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,675.92 : 417,492.78 = 189,301.84 : x
  2. Step 2: Convert to fraction form
    302,675.92/417,492.78 = 189,301.84/x
  3. Step 3: Cross multiply
    302,675.92x = 417,492.78 × 189,301.84
  4. Step 4: Simplify right side
    302,675.92x = 79,032,151,440.72
  5. Step 5: Solve for x
    x = 79,032,151,440.72/302,675.92
  6. Step 6: Final answer
    x = 261,111.46

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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.