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Finding the Fourth Proportional to 309,409.45, 426,977.35 and 171,587.57

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Solution

The fourth proportional to 309,409.45, 426,977.35 and 171,587.57 is: 236,786.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,409.45 : 426,977.35 = 171,587.57 : x
  2. Step 2: Convert to fraction form
    309,409.45/426,977.35 = 171,587.57/x
  3. Step 3: Cross multiply
    309,409.45x = 426,977.35 × 171,587.57
  4. Step 4: Simplify right side
    309,409.45x = 73,264,006,570.01
  5. Step 5: Solve for x
    x = 73,264,006,570.01/309,409.45
  6. Step 6: Final answer
    x = 236,786.59

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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.