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Finding the Fourth Proportional to 295,944, 408,402.72 and 161,808

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Solution

The fourth proportional to 295,944, 408,402.72 and 161,808 is: 223,295.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,944 : 408,402.72 = 161,808 : x
  2. Step 2: Convert to fraction form
    295,944/408,402.72 = 161,808/x
  3. Step 3: Cross multiply
    295,944x = 408,402.72 × 161,808
  4. Step 4: Simplify right side
    295,944x = 66,082,827,317.76
  5. Step 5: Solve for x
    x = 66,082,827,317.76/295,944
  6. Step 6: Final answer
    x = 223,295.04

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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.