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Finding the Fourth Proportional to 611,354.72, 916,613.76 and 311,254.56

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Solution

The fourth proportional to 611,354.72, 916,613.76 and 311,254.56 is: 466,668.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,354.72 : 916,613.76 = 311,254.56 : x
  2. Step 2: Convert to fraction form
    611,354.72/916,613.76 = 311,254.56/x
  3. Step 3: Cross multiply
    611,354.72x = 916,613.76 × 311,254.56
  4. Step 4: Simplify right side
    611,354.72x = 285,300,212,558.75
  5. Step 5: Solve for x
    x = 285,300,212,558.75/611,354.72
  6. Step 6: Final answer
    x = 466,668.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.