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Finding the Fourth Proportional to 298,431.40, 411,834.18 and 164,295.40

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Solution

The fourth proportional to 298,431.40, 411,834.18 and 164,295.40 is: 226,727.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,431.40 : 411,834.18 = 164,295.40 : x
  2. Step 2: Convert to fraction form
    298,431.40/411,834.18 = 164,295.40/x
  3. Step 3: Cross multiply
    298,431.40x = 411,834.18 × 164,295.40
  4. Step 4: Simplify right side
    298,431.40x = 67,662,461,336.77
  5. Step 5: Solve for x
    x = 67,662,461,336.77/298,431.40
  6. Step 6: Final answer
    x = 226,727.02

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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.