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Finding the Fourth Proportional to 285,642.34, 427,860.71 and 229,176.73

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Solution

The fourth proportional to 285,642.34, 427,860.71 and 229,176.73 is: 343,281.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,642.34 : 427,860.71 = 229,176.73 : x
  2. Step 2: Convert to fraction form
    285,642.34/427,860.71 = 229,176.73/x
  3. Step 3: Cross multiply
    285,642.34x = 427,860.71 × 229,176.73
  4. Step 4: Simplify right side
    285,642.34x = 98,055,718,413.28
  5. Step 5: Solve for x
    x = 98,055,718,413.28/285,642.34
  6. Step 6: Final answer
    x = 343,281.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.