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Finding the Fourth Proportional to 219,157.40, 302,446.32 and 123,664.16

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Solution

The fourth proportional to 219,157.40, 302,446.32 and 123,664.16 is: 170,661.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,157.40 : 302,446.32 = 123,664.16 : x
  2. Step 2: Convert to fraction form
    219,157.40/302,446.32 = 123,664.16/x
  3. Step 3: Cross multiply
    219,157.40x = 302,446.32 × 123,664.16
  4. Step 4: Simplify right side
    219,157.40x = 37,401,770,107.89
  5. Step 5: Solve for x
    x = 37,401,770,107.89/219,157.40
  6. Step 6: Final answer
    x = 170,661.68

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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.