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Finding the Fourth Proportional to 463,761.89, 640,304.35 and 289,598.18

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Solution

The fourth proportional to 463,761.89, 640,304.35 and 289,598.18 is: 399,840.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,761.89 : 640,304.35 = 289,598.18 : x
  2. Step 2: Convert to fraction form
    463,761.89/640,304.35 = 289,598.18/x
  3. Step 3: Cross multiply
    463,761.89x = 640,304.35 × 289,598.18
  4. Step 4: Simplify right side
    463,761.89x = 185,430,970,480.57
  5. Step 5: Solve for x
    x = 185,430,970,480.57/463,761.89
  6. Step 6: Final answer
    x = 399,840.90

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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.