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Finding the Fourth Proportional to 398,957.36, 598,075.43 and 270,916.37

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Solution

The fourth proportional to 398,957.36, 598,075.43 and 270,916.37 is: 406,129.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,957.36 : 598,075.43 = 270,916.37 : x
  2. Step 2: Convert to fraction form
    398,957.36/598,075.43 = 270,916.37/x
  3. Step 3: Cross multiply
    398,957.36x = 598,075.43 × 270,916.37
  4. Step 4: Simplify right side
    398,957.36x = 162,028,420,136.83
  5. Step 5: Solve for x
    x = 162,028,420,136.83/398,957.36
  6. Step 6: Final answer
    x = 406,129.67

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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.