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Finding the Fourth Proportional to 305,716, 421,888.08 and 171,580

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Solution

The fourth proportional to 305,716, 421,888.08 and 171,580 is: 236,780.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,716 : 421,888.08 = 171,580 : x
  2. Step 2: Convert to fraction form
    305,716/421,888.08 = 171,580/x
  3. Step 3: Cross multiply
    305,716x = 421,888.08 × 171,580
  4. Step 4: Simplify right side
    305,716x = 72,387,556,766.40
  5. Step 5: Solve for x
    x = 72,387,556,766.40/305,716
  6. Step 6: Final answer
    x = 236,780.40

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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.