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Finding the Fourth Proportional to 298,390.62, 411,784.30 and 162,428.47

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Solution

The fourth proportional to 298,390.62, 411,784.30 and 162,428.47 is: 224,154.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,390.62 : 411,784.30 = 162,428.47 : x
  2. Step 2: Convert to fraction form
    298,390.62/411,784.30 = 162,428.47/x
  3. Step 3: Cross multiply
    298,390.62x = 411,784.30 × 162,428.47
  4. Step 4: Simplify right side
    298,390.62x = 66,885,493,819.02
  5. Step 5: Solve for x
    x = 66,885,493,819.02/298,390.62
  6. Step 6: Final answer
    x = 224,154.15

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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.