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Finding the Fourth Proportional to 262,541.40, 393,812.10 and 218,801.40

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Solution

The fourth proportional to 262,541.40, 393,812.10 and 218,801.40 is: 328,202.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,541.40 : 393,812.10 = 218,801.40 : x
  2. Step 2: Convert to fraction form
    262,541.40/393,812.10 = 218,801.40/x
  3. Step 3: Cross multiply
    262,541.40x = 393,812.10 × 218,801.40
  4. Step 4: Simplify right side
    262,541.40x = 86,166,638,816.94
  5. Step 5: Solve for x
    x = 86,166,638,816.94/262,541.40
  6. Step 6: Final answer
    x = 328,202.10

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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.