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Finding the Fourth Proportional to 287,354.40, 396,533.64 and 164,840.64

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Solution

The fourth proportional to 287,354.40, 396,533.64 and 164,840.64 is: 227,471.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,354.40 : 396,533.64 = 164,840.64 : x
  2. Step 2: Convert to fraction form
    287,354.40/396,533.64 = 164,840.64/x
  3. Step 3: Cross multiply
    287,354.40x = 396,533.64 × 164,840.64
  4. Step 4: Simplify right side
    287,354.40x = 65,364,858,999.13
  5. Step 5: Solve for x
    x = 65,364,858,999.13/287,354.40
  6. Step 6: Final answer
    x = 227,471.23

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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.