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Finding the Fourth Proportional to 294,782.80, 442,172.40 and 84,421.12

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Solution

The fourth proportional to 294,782.80, 442,172.40 and 84,421.12 is: 126,631.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,782.80 : 442,172.40 = 84,421.12 : x
  2. Step 2: Convert to fraction form
    294,782.80/442,172.40 = 84,421.12/x
  3. Step 3: Cross multiply
    294,782.80x = 442,172.40 × 84,421.12
  4. Step 4: Simplify right side
    294,782.80x = 37,328,689,241.09
  5. Step 5: Solve for x
    x = 37,328,689,241.09/294,782.80
  6. Step 6: Final answer
    x = 126,631.16

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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.