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Finding the Fourth Proportional to 490,219.91, 676,398.53 and 286,178.22

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Solution

The fourth proportional to 490,219.91, 676,398.53 and 286,178.22 is: 394,864.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,219.91 : 676,398.53 = 286,178.22 : x
  2. Step 2: Convert to fraction form
    490,219.91/676,398.53 = 286,178.22/x
  3. Step 3: Cross multiply
    490,219.91x = 676,398.53 × 286,178.22
  4. Step 4: Simplify right side
    490,219.91x = 193,570,525,895.13
  5. Step 5: Solve for x
    x = 193,570,525,895.13/490,219.91
  6. Step 6: Final answer
    x = 394,864.68

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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.