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Finding the Fourth Proportional to 497,676, 686,576.30 and 316,290.80

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Solution

The fourth proportional to 497,676, 686,576.30 and 316,290.80 is: 436,343.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,676 : 686,576.30 = 316,290.80 : x
  2. Step 2: Convert to fraction form
    497,676/686,576.30 = 316,290.80/x
  3. Step 3: Cross multiply
    497,676x = 686,576.30 × 316,290.80
  4. Step 4: Simplify right side
    497,676x = 217,157,767,188.04
  5. Step 5: Solve for x
    x = 217,157,767,188.04/497,676
  6. Step 6: Final answer
    x = 436,343.66

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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.