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Finding the Fourth Proportional to 287,886.64, 397,283.52 and 160,559.50

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Solution

The fourth proportional to 287,886.64, 397,283.52 and 160,559.50 is: 221,572.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,886.64 : 397,283.52 = 160,559.50 : x
  2. Step 2: Convert to fraction form
    287,886.64/397,283.52 = 160,559.50/x
  3. Step 3: Cross multiply
    287,886.64x = 397,283.52 × 160,559.50
  4. Step 4: Simplify right side
    287,886.64x = 63,787,643,329.44
  5. Step 5: Solve for x
    x = 63,787,643,329.44/287,886.64
  6. Step 6: Final answer
    x = 221,572.09

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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.