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Finding the Fourth Proportional to 495,762.84, 684,099 and 280,899

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Solution

The fourth proportional to 495,762.84, 684,099 and 280,899 is: 387,610.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,762.84 : 684,099 = 280,899 : x
  2. Step 2: Convert to fraction form
    495,762.84/684,099 = 280,899/x
  3. Step 3: Cross multiply
    495,762.84x = 684,099 × 280,899
  4. Step 4: Simplify right side
    495,762.84x = 192,162,725,001
  5. Step 5: Solve for x
    x = 192,162,725,001/495,762.84
  6. Step 6: Final answer
    x = 387,610.18

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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.