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Finding the Fourth Proportional to 325,980.90, 489,117.15 and 157,436.10

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Solution

The fourth proportional to 325,980.90, 489,117.15 and 157,436.10 is: 236,224.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,980.90 : 489,117.15 = 157,436.10 : x
  2. Step 2: Convert to fraction form
    325,980.90/489,117.15 = 157,436.10/x
  3. Step 3: Cross multiply
    325,980.90x = 489,117.15 × 157,436.10
  4. Step 4: Simplify right side
    325,980.90x = 77,004,696,539.12
  5. Step 5: Solve for x
    x = 77,004,696,539.12/325,980.90
  6. Step 6: Final answer
    x = 236,224.57

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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.