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Finding the Fourth Proportional to 357,421.65, 493,243.21 and 194,078.36

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Solution

The fourth proportional to 357,421.65, 493,243.21 and 194,078.36 is: 267,828.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,421.65 : 493,243.21 = 194,078.36 : x
  2. Step 2: Convert to fraction form
    357,421.65/493,243.21 = 194,078.36/x
  3. Step 3: Cross multiply
    357,421.65x = 493,243.21 × 194,078.36
  4. Step 4: Simplify right side
    357,421.65x = 95,727,834,753.64
  5. Step 5: Solve for x
    x = 95,727,834,753.64/357,421.65
  6. Step 6: Final answer
    x = 267,828.87

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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.