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Finding the Fourth Proportional to 358,564.14, 494,811.42 and 197,421.84

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Solution

The fourth proportional to 358,564.14, 494,811.42 and 197,421.84 is: 272,438.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,564.14 : 494,811.42 = 197,421.84 : x
  2. Step 2: Convert to fraction form
    358,564.14/494,811.42 = 197,421.84/x
  3. Step 3: Cross multiply
    358,564.14x = 494,811.42 × 197,421.84
  4. Step 4: Simplify right side
    358,564.14x = 97,686,580,989.41
  5. Step 5: Solve for x
    x = 97,686,580,989.41/358,564.14
  6. Step 6: Final answer
    x = 272,438.23

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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.