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Finding the Fourth Proportional to 317,991.40, 476,864.34 and 135,506.32

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Solution

The fourth proportional to 317,991.40, 476,864.34 and 135,506.32 is: 203,207.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,991.40 : 476,864.34 = 135,506.32 : x
  2. Step 2: Convert to fraction form
    317,991.40/476,864.34 = 135,506.32/x
  3. Step 3: Cross multiply
    317,991.40x = 476,864.34 × 135,506.32
  4. Step 4: Simplify right side
    317,991.40x = 64,618,131,852.63
  5. Step 5: Solve for x
    x = 64,618,131,852.63/317,991.40
  6. Step 6: Final answer
    x = 203,207.17

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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.