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Finding the Fourth Proportional to 287,959.80, 397,362.62 and 158,903.42

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Solution

The fourth proportional to 287,959.80, 397,362.62 and 158,903.42 is: 219,274.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,959.80 : 397,362.62 = 158,903.42 : x
  2. Step 2: Convert to fraction form
    287,959.80/397,362.62 = 158,903.42/x
  3. Step 3: Cross multiply
    287,959.80x = 397,362.62 × 158,903.42
  4. Step 4: Simplify right side
    287,959.80x = 63,142,280,688.83
  5. Step 5: Solve for x
    x = 63,142,280,688.83/287,959.80
  6. Step 6: Final answer
    x = 219,274.64

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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.