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Finding the Fourth Proportional to 285,152, 393,413.52 and 164,290.08

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Solution

The fourth proportional to 285,152, 393,413.52 and 164,290.08 is: 226,664.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,152 : 393,413.52 = 164,290.08 : x
  2. Step 2: Convert to fraction form
    285,152/393,413.52 = 164,290.08/x
  3. Step 3: Cross multiply
    285,152x = 393,413.52 × 164,290.08
  4. Step 4: Simplify right side
    285,152x = 64,633,938,673.88
  5. Step 5: Solve for x
    x = 64,633,938,673.88/285,152
  6. Step 6: Final answer
    x = 226,664.86

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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.