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Finding the Fourth Proportional to 294,816, 442,228.80 and 84,453.12

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Solution

The fourth proportional to 294,816, 442,228.80 and 84,453.12 is: 126,681.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,816 : 442,228.80 = 84,453.12 : x
  2. Step 2: Convert to fraction form
    294,816/442,228.80 = 84,453.12/x
  3. Step 3: Cross multiply
    294,816x = 442,228.80 × 84,453.12
  4. Step 4: Simplify right side
    294,816x = 37,347,601,913.86
  5. Step 5: Solve for x
    x = 37,347,601,913.86/294,816
  6. Step 6: Final answer
    x = 126,681.06

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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.