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Finding the Fourth Proportional to 429,234, 643,009.26 and 248,940.68

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Solution

The fourth proportional to 429,234, 643,009.26 and 248,940.68 is: 372,922.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,234 : 643,009.26 = 248,940.68 : x
  2. Step 2: Convert to fraction form
    429,234/643,009.26 = 248,940.68/x
  3. Step 3: Cross multiply
    429,234x = 643,009.26 × 248,940.68
  4. Step 4: Simplify right side
    429,234x = 160,071,159,215.65
  5. Step 5: Solve for x
    x = 160,071,159,215.65/429,234
  6. Step 6: Final answer
    x = 372,922.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.