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Finding the Fourth Proportional to 298,530.16, 411,960.74 and 162,561.12

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Solution

The fourth proportional to 298,530.16, 411,960.74 and 162,561.12 is: 224,328.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,530.16 : 411,960.74 = 162,561.12 : x
  2. Step 2: Convert to fraction form
    298,530.16/411,960.74 = 162,561.12/x
  3. Step 3: Cross multiply
    298,530.16x = 411,960.74 × 162,561.12
  4. Step 4: Simplify right side
    298,530.16x = 66,968,798,477.62
  5. Step 5: Solve for x
    x = 66,968,798,477.62/298,530.16
  6. Step 6: Final answer
    x = 224,328.42

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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.