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Finding the Fourth Proportional to 306,729, 423,252 and 170,731.62

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Solution

The fourth proportional to 306,729, 423,252 and 170,731.62 is: 235,590.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,729 : 423,252 = 170,731.62 : x
  2. Step 2: Convert to fraction form
    306,729/423,252 = 170,731.62/x
  3. Step 3: Cross multiply
    306,729x = 423,252 × 170,731.62
  4. Step 4: Simplify right side
    306,729x = 72,262,499,628.24
  5. Step 5: Solve for x
    x = 72,262,499,628.24/306,729
  6. Step 6: Final answer
    x = 235,590.70

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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.