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Finding the Fourth Proportional to 294,970.40, 442,628.40 and 108,000.80

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Solution

The fourth proportional to 294,970.40, 442,628.40 and 108,000.80 is: 162,064.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,970.40 : 442,628.40 = 108,000.80 : x
  2. Step 2: Convert to fraction form
    294,970.40/442,628.40 = 108,000.80/x
  3. Step 3: Cross multiply
    294,970.40x = 442,628.40 × 108,000.80
  4. Step 4: Simplify right side
    294,970.40x = 47,804,221,302.72
  5. Step 5: Solve for x
    x = 47,804,221,302.72/294,970.40
  6. Step 6: Final answer
    x = 162,064.47

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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.