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Finding the Fourth Proportional to 411,497.28, 618,281.10 and 261,804.42

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Solution

The fourth proportional to 411,497.28, 618,281.10 and 261,804.42 is: 393,365.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,497.28 : 618,281.10 = 261,804.42 : x
  2. Step 2: Convert to fraction form
    411,497.28/618,281.10 = 261,804.42/x
  3. Step 3: Cross multiply
    411,497.28x = 618,281.10 × 261,804.42
  4. Step 4: Simplify right side
    411,497.28x = 161,868,724,782.46
  5. Step 5: Solve for x
    x = 161,868,724,782.46/411,497.28
  6. Step 6: Final answer
    x = 393,365.24

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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.