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Finding the Fourth Proportional to 497,604.72, 686,668.68 and 282,714.96

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Solution

The fourth proportional to 497,604.72, 686,668.68 and 282,714.96 is: 390,131.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,604.72 : 686,668.68 = 282,714.96 : x
  2. Step 2: Convert to fraction form
    497,604.72/686,668.68 = 282,714.96/x
  3. Step 3: Cross multiply
    497,604.72x = 686,668.68 × 282,714.96
  4. Step 4: Simplify right side
    497,604.72x = 194,131,508,399.45
  5. Step 5: Solve for x
    x = 194,131,508,399.45/497,604.72
  6. Step 6: Final answer
    x = 390,131.97

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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.