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Finding the Fourth Proportional to 287,361.90, 396,543.83 and 158,275.25

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Solution

The fourth proportional to 287,361.90, 396,543.83 and 158,275.25 is: 218,411.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,361.90 : 396,543.83 = 158,275.25 : x
  2. Step 2: Convert to fraction form
    287,361.90/396,543.83 = 158,275.25/x
  3. Step 3: Cross multiply
    287,361.90x = 396,543.83 × 158,275.25
  4. Step 4: Simplify right side
    287,361.90x = 62,763,073,829.21
  5. Step 5: Solve for x
    x = 62,763,073,829.21/287,361.90
  6. Step 6: Final answer
    x = 218,411.26

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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.