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Finding the Fourth Proportional to 508,769.56, 702,138.54 and 282,413.44

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Solution

The fourth proportional to 508,769.56, 702,138.54 and 282,413.44 is: 389,750.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,769.56 : 702,138.54 = 282,413.44 : x
  2. Step 2: Convert to fraction form
    508,769.56/702,138.54 = 282,413.44/x
  3. Step 3: Cross multiply
    508,769.56x = 702,138.54 × 282,413.44
  4. Step 4: Simplify right side
    508,769.56x = 198,293,360,437.98
  5. Step 5: Solve for x
    x = 198,293,360,437.98/508,769.56
  6. Step 6: Final answer
    x = 389,750.83

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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.