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Finding the Fourth Proportional to 270,326.94, 405,447.81 and 90,411

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Solution

The fourth proportional to 270,326.94, 405,447.81 and 90,411 is: 135,602.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,326.94 : 405,447.81 = 90,411 : x
  2. Step 2: Convert to fraction form
    270,326.94/405,447.81 = 90,411/x
  3. Step 3: Cross multiply
    270,326.94x = 405,447.81 × 90,411
  4. Step 4: Simplify right side
    270,326.94x = 36,656,941,949.91
  5. Step 5: Solve for x
    x = 36,656,941,949.91/270,326.94
  6. Step 6: Final answer
    x = 135,602.25

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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.