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Finding the Fourth Proportional to 305,539, 421,646.72 and 171,405.88

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Solution

The fourth proportional to 305,539, 421,646.72 and 171,405.88 is: 236,541.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,539 : 421,646.72 = 171,405.88 : x
  2. Step 2: Convert to fraction form
    305,539/421,646.72 = 171,405.88/x
  3. Step 3: Cross multiply
    305,539x = 421,646.72 × 171,405.88
  4. Step 4: Simplify right side
    305,539x = 72,272,727,090.71
  5. Step 5: Solve for x
    x = 72,272,727,090.71/305,539
  6. Step 6: Final answer
    x = 236,541.74

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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.