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Finding the Fourth Proportional to 310,310.40, 427,280.64 and 233,940.48

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Solution

The fourth proportional to 310,310.40, 427,280.64 and 233,940.48 is: 322,123.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,310.40 : 427,280.64 = 233,940.48 : x
  2. Step 2: Convert to fraction form
    310,310.40/427,280.64 = 233,940.48/x
  3. Step 3: Cross multiply
    310,310.40x = 427,280.64 × 233,940.48
  4. Step 4: Simplify right side
    310,310.40x = 99,958,238,016.31
  5. Step 5: Solve for x
    x = 99,958,238,016.31/310,310.40
  6. Step 6: Final answer
    x = 322,123.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.