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Finding the Fourth Proportional to 304,393.86, 420,064.01 and 168,433.54

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Solution

The fourth proportional to 304,393.86, 420,064.01 and 168,433.54 is: 232,438.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,393.86 : 420,064.01 = 168,433.54 : x
  2. Step 2: Convert to fraction form
    304,393.86/420,064.01 = 168,433.54/x
  3. Step 3: Cross multiply
    304,393.86x = 420,064.01 × 168,433.54
  4. Step 4: Simplify right side
    304,393.86x = 70,752,868,230.90
  5. Step 5: Solve for x
    x = 70,752,868,230.90/304,393.86
  6. Step 6: Final answer
    x = 232,438.55

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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.