Home / 729,715.78-1,006,998.24-407,431.36

Finding the Fourth Proportional to 729,715.78, 1,006,998.24 and 407,431.36

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Solution

The fourth proportional to 729,715.78, 1,006,998.24 and 407,431.36 is: 562,249.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,715.78 : 1,006,998.24 = 407,431.36 : x
  2. Step 2: Convert to fraction form
    729,715.78/1,006,998.24 = 407,431.36/x
  3. Step 3: Cross multiply
    729,715.78x = 1,006,998.24 × 407,431.36
  4. Step 4: Simplify right side
    729,715.78x = 410,282,662,440.81
  5. Step 5: Solve for x
    x = 410,282,662,440.81/729,715.78
  6. Step 6: Final answer
    x = 562,249.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.