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Finding the Fourth Proportional to 285,413.50, 393,870.63 and 158,097.30

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Solution

The fourth proportional to 285,413.50, 393,870.63 and 158,097.30 is: 218,174.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,413.50 : 393,870.63 = 158,097.30 : x
  2. Step 2: Convert to fraction form
    285,413.50/393,870.63 = 158,097.30/x
  3. Step 3: Cross multiply
    285,413.50x = 393,870.63 × 158,097.30
  4. Step 4: Simplify right side
    285,413.50x = 62,269,883,152.30
  5. Step 5: Solve for x
    x = 62,269,883,152.30/285,413.50
  6. Step 6: Final answer
    x = 218,174.27

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1.5x scale

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.