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Finding the Fourth Proportional to 495,978.19, 684,450.81 and 281,138.24

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Solution

The fourth proportional to 495,978.19, 684,450.81 and 281,138.24 is: 387,971.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,978.19 : 684,450.81 = 281,138.24 : x
  2. Step 2: Convert to fraction form
    495,978.19/684,450.81 = 281,138.24/x
  3. Step 3: Cross multiply
    495,978.19x = 684,450.81 × 281,138.24
  4. Step 4: Simplify right side
    495,978.19x = 192,425,297,801.10
  5. Step 5: Solve for x
    x = 192,425,297,801.10/495,978.19
  6. Step 6: Final answer
    x = 387,971.29

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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.