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Finding the Fourth Proportional to 295,288.64, 407,492.64 and 161,153.60

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Solution

The fourth proportional to 295,288.64, 407,492.64 and 161,153.60 is: 222,388.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,288.64 : 407,492.64 = 161,153.60 : x
  2. Step 2: Convert to fraction form
    295,288.64/407,492.64 = 161,153.60/x
  3. Step 3: Cross multiply
    295,288.64x = 407,492.64 × 161,153.60
  4. Step 4: Simplify right side
    295,288.64x = 65,668,905,909.50
  5. Step 5: Solve for x
    x = 65,668,905,909.50/295,288.64
  6. Step 6: Final answer
    x = 222,388.87

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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.