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Finding the Fourth Proportional to 463,628.41, 640,119.61 and 289,464.04

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Solution

The fourth proportional to 463,628.41, 640,119.61 and 289,464.04 is: 399,655.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,628.41 : 640,119.61 = 289,464.04 : x
  2. Step 2: Convert to fraction form
    463,628.41/640,119.61 = 289,464.04/x
  3. Step 3: Cross multiply
    463,628.41x = 640,119.61 × 289,464.04
  4. Step 4: Simplify right side
    463,628.41x = 185,291,607,927.57
  5. Step 5: Solve for x
    x = 185,291,607,927.57/463,628.41
  6. Step 6: Final answer
    x = 399,655.42

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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.