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Finding the Fourth Proportional to 432,802.22, 597,433.67 and 387,400.10

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Solution

The fourth proportional to 432,802.22, 597,433.67 and 387,400.10 is: 534,761.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,802.22 : 597,433.67 = 387,400.10 : x
  2. Step 2: Convert to fraction form
    432,802.22/597,433.67 = 387,400.10/x
  3. Step 3: Cross multiply
    432,802.22x = 597,433.67 × 387,400.10
  4. Step 4: Simplify right side
    432,802.22x = 231,445,858,577.20
  5. Step 5: Solve for x
    x = 231,445,858,577.20/432,802.22
  6. Step 6: Final answer
    x = 534,761.26

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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.