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Finding the Fourth Proportional to 545,757.72, 753,143.76 and 304,026

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Solution

The fourth proportional to 545,757.72, 753,143.76 and 304,026 is: 419,554.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,757.72 : 753,143.76 = 304,026 : x
  2. Step 2: Convert to fraction form
    545,757.72/753,143.76 = 304,026/x
  3. Step 3: Cross multiply
    545,757.72x = 753,143.76 × 304,026
  4. Step 4: Simplify right side
    545,757.72x = 228,975,284,777.76
  5. Step 5: Solve for x
    x = 228,975,284,777.76/545,757.72
  6. Step 6: Final answer
    x = 419,554.83

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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.