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Finding the Fourth Proportional to 286,006.53, 394,689.06 and 158,681.82

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Solution

The fourth proportional to 286,006.53, 394,689.06 and 158,681.82 is: 218,980.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,006.53 : 394,689.06 = 158,681.82 : x
  2. Step 2: Convert to fraction form
    286,006.53/394,689.06 = 158,681.82/x
  3. Step 3: Cross multiply
    286,006.53x = 394,689.06 × 158,681.82
  4. Step 4: Simplify right side
    286,006.53x = 62,629,978,374.89
  5. Step 5: Solve for x
    x = 62,629,978,374.89/286,006.53
  6. Step 6: Final answer
    x = 218,980.94

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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.