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Finding the Fourth Proportional to 358,493.76, 494,739.23 and 197,347.10

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Solution

The fourth proportional to 358,493.76, 494,739.23 and 197,347.10 is: 272,348.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,493.76 : 494,739.23 = 197,347.10 : x
  2. Step 2: Convert to fraction form
    358,493.76/494,739.23 = 197,347.10/x
  3. Step 3: Cross multiply
    358,493.76x = 494,739.23 × 197,347.10
  4. Step 4: Simplify right side
    358,493.76x = 97,635,348,836.30
  5. Step 5: Solve for x
    x = 97,635,348,836.30/358,493.76
  6. Step 6: Final answer
    x = 272,348.81

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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.