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Finding the Fourth Proportional to 463,765.01, 640,308.66 and 289,601.30

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Solution

The fourth proportional to 463,765.01, 640,308.66 and 289,601.30 is: 399,845.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,765.01 : 640,308.66 = 289,601.30 : x
  2. Step 2: Convert to fraction form
    463,765.01/640,308.66 = 289,601.30/x
  3. Step 3: Cross multiply
    463,765.01x = 640,308.66 × 289,601.30
  4. Step 4: Simplify right side
    463,765.01x = 185,434,220,337.26
  5. Step 5: Solve for x
    x = 185,434,220,337.26/463,765.01
  6. Step 6: Final answer
    x = 399,845.22

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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.