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Finding the Fourth Proportional to 495,674.66, 684,028.64 and 280,814.22

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Solution

The fourth proportional to 495,674.66, 684,028.64 and 280,814.22 is: 387,522.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,674.66 : 684,028.64 = 280,814.22 : x
  2. Step 2: Convert to fraction form
    495,674.66/684,028.64 = 280,814.22/x
  3. Step 3: Cross multiply
    495,674.66x = 684,028.64 × 280,814.22
  4. Step 4: Simplify right side
    495,674.66x = 192,084,969,701.30
  5. Step 5: Solve for x
    x = 192,084,969,701.30/495,674.66
  6. Step 6: Final answer
    x = 387,522.27

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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.