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Finding the Fourth Proportional to 495,066.36, 683,074.44 and 280,206.39

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Solution

The fourth proportional to 495,066.36, 683,074.44 and 280,206.39 is: 386,618.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,066.36 : 683,074.44 = 280,206.39 : x
  2. Step 2: Convert to fraction form
    495,066.36/683,074.44 = 280,206.39/x
  3. Step 3: Cross multiply
    495,066.36x = 683,074.44 × 280,206.39
  4. Step 4: Simplify right side
    495,066.36x = 191,401,822,933.67
  5. Step 5: Solve for x
    x = 191,401,822,933.67/495,066.36
  6. Step 6: Final answer
    x = 386,618.52

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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.