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Finding the Fourth Proportional to 486,152.44, 670,676.76 and 463,640

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Solution

The fourth proportional to 486,152.44, 670,676.76 and 463,640 is: 639,619.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,152.44 : 670,676.76 = 463,640 : x
  2. Step 2: Convert to fraction form
    486,152.44/670,676.76 = 463,640/x
  3. Step 3: Cross multiply
    486,152.44x = 670,676.76 × 463,640
  4. Step 4: Simplify right side
    486,152.44x = 310,952,573,006.40
  5. Step 5: Solve for x
    x = 310,952,573,006.40/486,152.44
  6. Step 6: Final answer
    x = 639,619.48

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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.