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Finding the Fourth Proportional to 305,537, 421,643.94 and 171,403.88

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Solution

The fourth proportional to 305,537, 421,643.94 and 171,403.88 is: 236,538.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,537 : 421,643.94 = 171,403.88 : x
  2. Step 2: Convert to fraction form
    305,537/421,643.94 = 171,403.88/x
  3. Step 3: Cross multiply
    305,537x = 421,643.94 × 171,403.88
  4. Step 4: Simplify right side
    305,537x = 72,271,407,294.49
  5. Step 5: Solve for x
    x = 72,271,407,294.49/305,537
  6. Step 6: Final answer
    x = 236,538.97

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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.