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Finding the Fourth Proportional to 802,632, 1,107,632.16 and 463,100.25

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Solution

The fourth proportional to 802,632, 1,107,632.16 and 463,100.25 is: 639,078.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,632 : 1,107,632.16 = 463,100.25 : x
  2. Step 2: Convert to fraction form
    802,632/1,107,632.16 = 463,100.25/x
  3. Step 3: Cross multiply
    802,632x = 1,107,632.16 × 463,100.25
  4. Step 4: Simplify right side
    802,632x = 512,944,730,204.04
  5. Step 5: Solve for x
    x = 512,944,730,204.04/802,632
  6. Step 6: Final answer
    x = 639,078.35

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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.