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Finding the Fourth Proportional to 305,266, 421,267.08 and 171,130

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Solution

The fourth proportional to 305,266, 421,267.08 and 171,130 is: 236,159.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,266 : 421,267.08 = 171,130 : x
  2. Step 2: Convert to fraction form
    305,266/421,267.08 = 171,130/x
  3. Step 3: Cross multiply
    305,266x = 421,267.08 × 171,130
  4. Step 4: Simplify right side
    305,266x = 72,091,435,400.40
  5. Step 5: Solve for x
    x = 72,091,435,400.40/305,266
  6. Step 6: Final answer
    x = 236,159.40

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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.