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Finding the Fourth Proportional to 298,305.36, 411,663.16 and 162,340.38

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Solution

The fourth proportional to 298,305.36, 411,663.16 and 162,340.38 is: 224,030.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,305.36 : 411,663.16 = 162,340.38 : x
  2. Step 2: Convert to fraction form
    298,305.36/411,663.16 = 162,340.38/x
  3. Step 3: Cross multiply
    298,305.36x = 411,663.16 × 162,340.38
  4. Step 4: Simplify right side
    298,305.36x = 66,829,553,826.40
  5. Step 5: Solve for x
    x = 66,829,553,826.40/298,305.36
  6. Step 6: Final answer
    x = 224,030.68

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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.