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Finding the Fourth Proportional to 285,723.80, 428,585.70 and 239,413.40

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Solution

The fourth proportional to 285,723.80, 428,585.70 and 239,413.40 is: 359,120.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,723.80 : 428,585.70 = 239,413.40 : x
  2. Step 2: Convert to fraction form
    285,723.80/428,585.70 = 239,413.40/x
  3. Step 3: Cross multiply
    285,723.80x = 428,585.70 × 239,413.40
  4. Step 4: Simplify right side
    285,723.80x = 102,609,159,628.38
  5. Step 5: Solve for x
    x = 102,609,159,628.38/285,723.80
  6. Step 6: Final answer
    x = 359,120.10

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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.