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Finding the Fourth Proportional to 304,617.42, 420,358.32 and 168,641.82

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Solution

The fourth proportional to 304,617.42, 420,358.32 and 168,641.82 is: 232,718.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,617.42 : 420,358.32 = 168,641.82 : x
  2. Step 2: Convert to fraction form
    304,617.42/420,358.32 = 168,641.82/x
  3. Step 3: Cross multiply
    304,617.42x = 420,358.32 × 168,641.82
  4. Step 4: Simplify right side
    304,617.42x = 70,889,992,136.94
  5. Step 5: Solve for x
    x = 70,889,992,136.94/304,617.42
  6. Step 6: Final answer
    x = 232,718.12

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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.