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Finding the Fourth Proportional to 301,018.65, 415,409.75 and 165,052.25

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Solution

The fourth proportional to 301,018.65, 415,409.75 and 165,052.25 is: 227,774.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,018.65 : 415,409.75 = 165,052.25 : x
  2. Step 2: Convert to fraction form
    301,018.65/415,409.75 = 165,052.25/x
  3. Step 3: Cross multiply
    301,018.65x = 415,409.75 × 165,052.25
  4. Step 4: Simplify right side
    301,018.65x = 68,564,311,007.13
  5. Step 5: Solve for x
    x = 68,564,311,007.13/301,018.65
  6. Step 6: Final answer
    x = 227,774.30

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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.