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Finding the Fourth Proportional to 510,458.54, 765,688.06 and 210,609.56

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Solution

The fourth proportional to 510,458.54, 765,688.06 and 210,609.56 is: 315,914.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,458.54 : 765,688.06 = 210,609.56 : x
  2. Step 2: Convert to fraction form
    510,458.54/765,688.06 = 210,609.56/x
  3. Step 3: Cross multiply
    510,458.54x = 765,688.06 × 210,609.56
  4. Step 4: Simplify right side
    510,458.54x = 161,261,225,413.85
  5. Step 5: Solve for x
    x = 161,261,225,413.85/510,458.54
  6. Step 6: Final answer
    x = 315,914.44

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1.5x scale

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.