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Finding the Fourth Proportional to 287,735.82, 397,066.74 and 158,674.32

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Solution

The fourth proportional to 287,735.82, 397,066.74 and 158,674.32 is: 218,965.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,735.82 : 397,066.74 = 158,674.32 : x
  2. Step 2: Convert to fraction form
    287,735.82/397,066.74 = 158,674.32/x
  3. Step 3: Cross multiply
    287,735.82x = 397,066.74 × 158,674.32
  4. Step 4: Simplify right side
    287,735.82x = 63,004,294,964.12
  5. Step 5: Solve for x
    x = 63,004,294,964.12/287,735.82
  6. Step 6: Final answer
    x = 218,965.77

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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.