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Finding the Fourth Proportional to 289,030.62, 398,802.26 and 198,353.40

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Solution

The fourth proportional to 289,030.62, 398,802.26 and 198,353.40 is: 273,686.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,030.62 : 398,802.26 = 198,353.40 : x
  2. Step 2: Convert to fraction form
    289,030.62/398,802.26 = 198,353.40/x
  3. Step 3: Cross multiply
    289,030.62x = 398,802.26 × 198,353.40
  4. Step 4: Simplify right side
    289,030.62x = 79,103,784,198.68
  5. Step 5: Solve for x
    x = 79,103,784,198.68/289,030.62
  6. Step 6: Final answer
    x = 273,686.52

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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.