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Finding the Fourth Proportional to 589,413.42, 813,459.66 and 331,290.72

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Solution

The fourth proportional to 589,413.42, 813,459.66 and 331,290.72 is: 457,220.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,413.42 : 813,459.66 = 331,290.72 : x
  2. Step 2: Convert to fraction form
    589,413.42/813,459.66 = 331,290.72/x
  3. Step 3: Cross multiply
    589,413.42x = 813,459.66 × 331,290.72
  4. Step 4: Simplify right side
    589,413.42x = 269,491,636,452.36
  5. Step 5: Solve for x
    x = 269,491,636,452.36/589,413.42
  6. Step 6: Final answer
    x = 457,220.06

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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.