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Finding the Fourth Proportional to 287,903.94, 397,308 and 160,587.78

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Solution

The fourth proportional to 287,903.94, 397,308 and 160,587.78 is: 221,611.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,903.94 : 397,308 = 160,587.78 : x
  2. Step 2: Convert to fraction form
    287,903.94/397,308 = 160,587.78/x
  3. Step 3: Cross multiply
    287,903.94x = 397,308 × 160,587.78
  4. Step 4: Simplify right side
    287,903.94x = 63,802,809,696.24
  5. Step 5: Solve for x
    x = 63,802,809,696.24/287,903.94
  6. Step 6: Final answer
    x = 221,611.45

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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.