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Finding the Fourth Proportional to 489,270.40, 734,337.60 and 289,340.80

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Solution

The fourth proportional to 489,270.40, 734,337.60 and 289,340.80 is: 434,266.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,270.40 : 734,337.60 = 289,340.80 : x
  2. Step 2: Convert to fraction form
    489,270.40/734,337.60 = 289,340.80/x
  3. Step 3: Cross multiply
    489,270.40x = 734,337.60 × 289,340.80
  4. Step 4: Simplify right side
    489,270.40x = 212,473,828,654.08
  5. Step 5: Solve for x
    x = 212,473,828,654.08/489,270.40
  6. Step 6: Final answer
    x = 434,266.67

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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.