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Finding the Fourth Proportional to 304,454.81, 420,137.25 and 168,494.47

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Solution

The fourth proportional to 304,454.81, 420,137.25 and 168,494.47 is: 232,516.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,454.81 : 420,137.25 = 168,494.47 : x
  2. Step 2: Convert to fraction form
    304,454.81/420,137.25 = 168,494.47/x
  3. Step 3: Cross multiply
    304,454.81x = 420,137.25 × 168,494.47
  4. Step 4: Simplify right side
    304,454.81x = 70,790,803,266.01
  5. Step 5: Solve for x
    x = 70,790,803,266.01/304,454.81
  6. Step 6: Final answer
    x = 232,516.62

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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.