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Finding the Fourth Proportional to 304,838.46, 420,669.27 and 167,016.42

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Solution

The fourth proportional to 304,838.46, 420,669.27 and 167,016.42 is: 230,478.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,838.46 : 420,669.27 = 167,016.42 : x
  2. Step 2: Convert to fraction form
    304,838.46/420,669.27 = 167,016.42/x
  3. Step 3: Cross multiply
    304,838.46x = 420,669.27 × 167,016.42
  4. Step 4: Simplify right side
    304,838.46x = 70,258,675,479.41
  5. Step 5: Solve for x
    x = 70,258,675,479.41/304,838.46
  6. Step 6: Final answer
    x = 230,478.38

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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.