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Finding the Fourth Proportional to 270,332.94, 405,456.80 and 90,417

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Solution

The fourth proportional to 270,332.94, 405,456.80 and 90,417 is: 135,611.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,332.94 : 405,456.80 = 90,417 : x
  2. Step 2: Convert to fraction form
    270,332.94/405,456.80 = 90,417/x
  3. Step 3: Cross multiply
    270,332.94x = 405,456.80 × 90,417
  4. Step 4: Simplify right side
    270,332.94x = 36,660,187,485.60
  5. Step 5: Solve for x
    x = 36,660,187,485.60/270,332.94
  6. Step 6: Final answer
    x = 135,611.25

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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.