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Finding the Fourth Proportional to 618,469.83, 926,129.70 and 407,468.07

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Solution

The fourth proportional to 618,469.83, 926,129.70 and 407,468.07 is: 610,164.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,469.83 : 926,129.70 = 407,468.07 : x
  2. Step 2: Convert to fraction form
    618,469.83/926,129.70 = 407,468.07/x
  3. Step 3: Cross multiply
    618,469.83x = 926,129.70 × 407,468.07
  4. Step 4: Simplify right side
    618,469.83x = 377,368,281,428.68
  5. Step 5: Solve for x
    x = 377,368,281,428.68/618,469.83
  6. Step 6: Final answer
    x = 610,164.41

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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.