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Finding the Fourth Proportional to 260,502.06, 359,413.47 and 145,768.80

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Solution

The fourth proportional to 260,502.06, 359,413.47 and 145,768.80 is: 201,116.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,502.06 : 359,413.47 = 145,768.80 : x
  2. Step 2: Convert to fraction form
    260,502.06/359,413.47 = 145,768.80/x
  3. Step 3: Cross multiply
    260,502.06x = 359,413.47 × 145,768.80
  4. Step 4: Simplify right side
    260,502.06x = 52,391,270,225.74
  5. Step 5: Solve for x
    x = 52,391,270,225.74/260,502.06
  6. Step 6: Final answer
    x = 201,116.53

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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.