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Finding the Fourth Proportional to 490,127.80, 734,219.70 and 431,678.20

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Solution

The fourth proportional to 490,127.80, 734,219.70 and 431,678.20 is: 646,661.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,127.80 : 734,219.70 = 431,678.20 : x
  2. Step 2: Convert to fraction form
    490,127.80/734,219.70 = 431,678.20/x
  3. Step 3: Cross multiply
    490,127.80x = 734,219.70 × 431,678.20
  4. Step 4: Simplify right side
    490,127.80x = 316,946,638,500.54
  5. Step 5: Solve for x
    x = 316,946,638,500.54/490,127.80
  6. Step 6: Final answer
    x = 646,661.21

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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.