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Finding the Fourth Proportional to 295,136, 407,296.32 and 161,008.64

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Solution

The fourth proportional to 295,136, 407,296.32 and 161,008.64 is: 222,196.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,136 : 407,296.32 = 161,008.64 : x
  2. Step 2: Convert to fraction form
    295,136/407,296.32 = 161,008.64/x
  3. Step 3: Cross multiply
    295,136x = 407,296.32 × 161,008.64
  4. Step 4: Simplify right side
    295,136x = 65,578,226,560.20
  5. Step 5: Solve for x
    x = 65,578,226,560.20/295,136
  6. Step 6: Final answer
    x = 222,196.64

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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.