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Finding the Fourth Proportional to 287,314.36, 396,494.40 and 159,994.51

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Solution

The fourth proportional to 287,314.36, 396,494.40 and 159,994.51 is: 220,792.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,314.36 : 396,494.40 = 159,994.51 : x
  2. Step 2: Convert to fraction form
    287,314.36/396,494.40 = 159,994.51/x
  3. Step 3: Cross multiply
    287,314.36x = 396,494.40 × 159,994.51
  4. Step 4: Simplify right side
    287,314.36x = 63,436,927,245.74
  5. Step 5: Solve for x
    x = 63,436,927,245.74/287,314.36
  6. Step 6: Final answer
    x = 220,792.75

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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.