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Finding the Fourth Proportional to 291,743.40, 438,271.20 and 280,589.70

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Solution

The fourth proportional to 291,743.40, 438,271.20 and 280,589.70 is: 421,515.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,743.40 : 438,271.20 = 280,589.70 : x
  2. Step 2: Convert to fraction form
    291,743.40/438,271.20 = 280,589.70/x
  3. Step 3: Cross multiply
    291,743.40x = 438,271.20 × 280,589.70
  4. Step 4: Simplify right side
    291,743.40x = 122,974,384,526.64
  5. Step 5: Solve for x
    x = 122,974,384,526.64/291,743.40
  6. Step 6: Final answer
    x = 421,515.57

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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.