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Finding the Fourth Proportional to 490,126.12, 676,294.56 and 306,343

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Solution

The fourth proportional to 490,126.12, 676,294.56 and 306,343 is: 422,703.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,126.12 : 676,294.56 = 306,343 : x
  2. Step 2: Convert to fraction form
    490,126.12/676,294.56 = 306,343/x
  3. Step 3: Cross multiply
    490,126.12x = 676,294.56 × 306,343
  4. Step 4: Simplify right side
    490,126.12x = 207,178,104,394.08
  5. Step 5: Solve for x
    x = 207,178,104,394.08/490,126.12
  6. Step 6: Final answer
    x = 422,703.66

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1.5x scale

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.