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Finding the Fourth Proportional to 513,412.68, 770,221.73 and 158,413.38

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Solution

The fourth proportional to 513,412.68, 770,221.73 and 158,413.38 is: 237,651.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,412.68 : 770,221.73 = 158,413.38 : x
  2. Step 2: Convert to fraction form
    513,412.68/770,221.73 = 158,413.38/x
  3. Step 3: Cross multiply
    513,412.68x = 770,221.73 × 158,413.38
  4. Step 4: Simplify right side
    513,412.68x = 122,013,427,598.75
  5. Step 5: Solve for x
    x = 122,013,427,598.75/513,412.68
  6. Step 6: Final answer
    x = 237,651.76

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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.