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Finding the Fourth Proportional to 294,782.58, 442,267.34 and 105,238.76

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Solution

The fourth proportional to 294,782.58, 442,267.34 and 105,238.76 is: 157,891.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,782.58 : 442,267.34 = 105,238.76 : x
  2. Step 2: Convert to fraction form
    294,782.58/442,267.34 = 105,238.76/x
  3. Step 3: Cross multiply
    294,782.58x = 442,267.34 × 105,238.76
  4. Step 4: Simplify right side
    294,782.58x = 46,543,663,712.57
  5. Step 5: Solve for x
    x = 46,543,663,712.57/294,782.58
  6. Step 6: Final answer
    x = 157,891.50

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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.