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Finding the Fourth Proportional to 287,741.72, 397,074.44 and 158,685.64

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Solution

The fourth proportional to 287,741.72, 397,074.44 and 158,685.64 is: 218,981.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,741.72 : 397,074.44 = 158,685.64 : x
  2. Step 2: Convert to fraction form
    287,741.72/397,074.44 = 158,685.64/x
  3. Step 3: Cross multiply
    287,741.72x = 397,074.44 × 158,685.64
  4. Step 4: Simplify right side
    287,741.72x = 63,010,011,639.04
  5. Step 5: Solve for x
    x = 63,010,011,639.04/287,741.72
  6. Step 6: Final answer
    x = 218,981.15

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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.