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Finding the Fourth Proportional to 510,409.08, 765,724.32 and 155,413.80

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Solution

The fourth proportional to 510,409.08, 765,724.32 and 155,413.80 is: 233,154.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,409.08 : 765,724.32 = 155,413.80 : x
  2. Step 2: Convert to fraction form
    510,409.08/765,724.32 = 155,413.80/x
  3. Step 3: Cross multiply
    510,409.08x = 765,724.32 × 155,413.80
  4. Step 4: Simplify right side
    510,409.08x = 119,004,126,323.62
  5. Step 5: Solve for x
    x = 119,004,126,323.62/510,409.08
  6. Step 6: Final answer
    x = 233,154.41

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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.