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Finding the Fourth Proportional to 285,973.04, 394,643.28 and 158,648.64

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Solution

The fourth proportional to 285,973.04, 394,643.28 and 158,648.64 is: 218,935.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,973.04 : 394,643.28 = 158,648.64 : x
  2. Step 2: Convert to fraction form
    285,973.04/394,643.28 = 158,648.64/x
  3. Step 3: Cross multiply
    285,973.04x = 394,643.28 × 158,648.64
  4. Step 4: Simplify right side
    285,973.04x = 62,609,619,657.14
  5. Step 5: Solve for x
    x = 62,609,619,657.14/285,973.04
  6. Step 6: Final answer
    x = 218,935.39

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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.