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Finding the Fourth Proportional to 497,456.44, 686,600.69 and 316,133.01

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Solution

The fourth proportional to 497,456.44, 686,600.69 and 316,133.01 is: 436,333.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,456.44 : 686,600.69 = 316,133.01 : x
  2. Step 2: Convert to fraction form
    497,456.44/686,600.69 = 316,133.01/x
  3. Step 3: Cross multiply
    497,456.44x = 686,600.69 × 316,133.01
  4. Step 4: Simplify right side
    497,456.44x = 217,057,141,217.11
  5. Step 5: Solve for x
    x = 217,057,141,217.11/497,456.44
  6. Step 6: Final answer
    x = 436,333.97

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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.