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Finding the Fourth Proportional to 287,756.87, 397,109.43 and 158,710.16

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Solution

The fourth proportional to 287,756.87, 397,109.43 and 158,710.16 is: 219,022.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,756.87 : 397,109.43 = 158,710.16 : x
  2. Step 2: Convert to fraction form
    287,756.87/397,109.43 = 158,710.16/x
  3. Step 3: Cross multiply
    287,756.87x = 397,109.43 × 158,710.16
  4. Step 4: Simplify right side
    287,756.87x = 63,025,299,187.26
  5. Step 5: Solve for x
    x = 63,025,299,187.26/287,756.87
  6. Step 6: Final answer
    x = 219,022.75

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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.