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Finding the Fourth Proportional to 294,030, 405,764.64 and 159,894

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Solution

The fourth proportional to 294,030, 405,764.64 and 159,894 is: 220,655.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,030 : 405,764.64 = 159,894 : x
  2. Step 2: Convert to fraction form
    294,030/405,764.64 = 159,894/x
  3. Step 3: Cross multiply
    294,030x = 405,764.64 × 159,894
  4. Step 4: Simplify right side
    294,030x = 64,879,331,348.16
  5. Step 5: Solve for x
    x = 64,879,331,348.16/294,030
  6. Step 6: Final answer
    x = 220,655.48

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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.