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Finding the Fourth Proportional to 345,191.90, 476,119.43 and 230,412.67

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Solution

The fourth proportional to 345,191.90, 476,119.43 and 230,412.67 is: 317,805.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,191.90 : 476,119.43 = 230,412.67 : x
  2. Step 2: Convert to fraction form
    345,191.90/476,119.43 = 230,412.67/x
  3. Step 3: Cross multiply
    345,191.90x = 476,119.43 × 230,412.67
  4. Step 4: Simplify right side
    345,191.90x = 109,703,949,105.18
  5. Step 5: Solve for x
    x = 109,703,949,105.18/345,191.90
  6. Step 6: Final answer
    x = 317,805.69

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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.