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Finding the Fourth Proportional to 270,215.10, 405,322.65 and 73,223.10

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Solution

The fourth proportional to 270,215.10, 405,322.65 and 73,223.10 is: 109,834.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,215.10 : 405,322.65 = 73,223.10 : x
  2. Step 2: Convert to fraction form
    270,215.10/405,322.65 = 73,223.10/x
  3. Step 3: Cross multiply
    270,215.10x = 405,322.65 × 73,223.10
  4. Step 4: Simplify right side
    270,215.10x = 29,678,980,933.22
  5. Step 5: Solve for x
    x = 29,678,980,933.22/270,215.10
  6. Step 6: Final answer
    x = 109,834.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.