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Finding the Fourth Proportional to 495,817.16, 684,213.48 and 281,026.64

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Solution

The fourth proportional to 495,817.16, 684,213.48 and 281,026.64 is: 387,808.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,817.16 : 684,213.48 = 281,026.64 : x
  2. Step 2: Convert to fraction form
    495,817.16/684,213.48 = 281,026.64/x
  3. Step 3: Cross multiply
    495,817.16x = 684,213.48 × 281,026.64
  4. Step 4: Simplify right side
    495,817.16x = 192,282,215,327.11
  5. Step 5: Solve for x
    x = 192,282,215,327.11/495,817.16
  6. Step 6: Final answer
    x = 387,808.71

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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.