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Finding the Fourth Proportional to 298,390.42, 411,784.02 and 162,428.27

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Solution

The fourth proportional to 298,390.42, 411,784.02 and 162,428.27 is: 224,153.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,390.42 : 411,784.02 = 162,428.27 : x
  2. Step 2: Convert to fraction form
    298,390.42/411,784.02 = 162,428.27/x
  3. Step 3: Cross multiply
    298,390.42x = 411,784.02 × 162,428.27
  4. Step 4: Simplify right side
    298,390.42x = 66,885,367,011.71
  5. Step 5: Solve for x
    x = 66,885,367,011.71/298,390.42
  6. Step 6: Final answer
    x = 224,153.87

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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.