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Finding the Fourth Proportional to 463,765.83, 640,309.78 and 289,602.11

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Solution

The fourth proportional to 463,765.83, 640,309.78 and 289,602.11 is: 399,846.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,765.83 : 640,309.78 = 289,602.11 : x
  2. Step 2: Convert to fraction form
    463,765.83/640,309.78 = 289,602.11/x
  3. Step 3: Cross multiply
    463,765.83x = 640,309.78 × 289,602.11
  4. Step 4: Simplify right side
    463,765.83x = 185,435,065,304.41
  5. Step 5: Solve for x
    x = 185,435,065,304.41/463,765.83
  6. Step 6: Final answer
    x = 399,846.33

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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.