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Finding the Fourth Proportional to 295,600, 407,938.08 and 161,472.64

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Solution

The fourth proportional to 295,600, 407,938.08 and 161,472.64 is: 222,837.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,600 : 407,938.08 = 161,472.64 : x
  2. Step 2: Convert to fraction form
    295,600/407,938.08 = 161,472.64/x
  3. Step 3: Cross multiply
    295,600x = 407,938.08 × 161,472.64
  4. Step 4: Simplify right side
    295,600x = 65,870,838,734.13
  5. Step 5: Solve for x
    x = 65,870,838,734.13/295,600
  6. Step 6: Final answer
    x = 222,837.75

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1.5x scale

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.