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Finding the Fourth Proportional to 421,686, 632,529.61 and 172,368

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Solution

The fourth proportional to 421,686, 632,529.61 and 172,368 is: 258,552.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,686 : 632,529.61 = 172,368 : x
  2. Step 2: Convert to fraction form
    421,686/632,529.61 = 172,368/x
  3. Step 3: Cross multiply
    421,686x = 632,529.61 × 172,368
  4. Step 4: Simplify right side
    421,686x = 109,027,863,385.56
  5. Step 5: Solve for x
    x = 109,027,863,385.56/421,686
  6. Step 6: Final answer
    x = 258,552.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.