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Finding the Fourth Proportional to 495,137.98, 683,292.46 and 280,319.50

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Solution

The fourth proportional to 495,137.98, 683,292.46 and 280,319.50 is: 386,842.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,137.98 : 683,292.46 = 280,319.50 : x
  2. Step 2: Convert to fraction form
    495,137.98/683,292.46 = 280,319.50/x
  3. Step 3: Cross multiply
    495,137.98x = 683,292.46 × 280,319.50
  4. Step 4: Simplify right side
    495,137.98x = 191,540,200,740.97
  5. Step 5: Solve for x
    x = 191,540,200,740.97/495,137.98
  6. Step 6: Final answer
    x = 386,842.07

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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.