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Finding the Fourth Proportional to 285,719.90, 394,277.91 and 158,413.82

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Solution

The fourth proportional to 285,719.90, 394,277.91 and 158,413.82 is: 218,602.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,719.90 : 394,277.91 = 158,413.82 : x
  2. Step 2: Convert to fraction form
    285,719.90/394,277.91 = 158,413.82/x
  3. Step 3: Cross multiply
    285,719.90x = 394,277.91 × 158,413.82
  4. Step 4: Simplify right side
    285,719.90x = 62,459,069,864.72
  5. Step 5: Solve for x
    x = 62,459,069,864.72/285,719.90
  6. Step 6: Final answer
    x = 218,602.45

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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.