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Finding the Fourth Proportional to 304,911.36, 420,768 and 168,952.32

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Solution

The fourth proportional to 304,911.36, 420,768 and 168,952.32 is: 233,148.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,911.36 : 420,768 = 168,952.32 : x
  2. Step 2: Convert to fraction form
    304,911.36/420,768 = 168,952.32/x
  3. Step 3: Cross multiply
    304,911.36x = 420,768 × 168,952.32
  4. Step 4: Simplify right side
    304,911.36x = 71,089,729,781.76
  5. Step 5: Solve for x
    x = 71,089,729,781.76/304,911.36
  6. Step 6: Final answer
    x = 233,148.84

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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.