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Finding the Fourth Proportional to 418,634.81, 577,880.36 and 296,764.18

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Solution

The fourth proportional to 418,634.81, 577,880.36 and 296,764.18 is: 409,651.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,634.81 : 577,880.36 = 296,764.18 : x
  2. Step 2: Convert to fraction form
    418,634.81/577,880.36 = 296,764.18/x
  3. Step 3: Cross multiply
    418,634.81x = 577,880.36 × 296,764.18
  4. Step 4: Simplify right side
    418,634.81x = 171,494,190,470.71
  5. Step 5: Solve for x
    x = 171,494,190,470.71/418,634.81
  6. Step 6: Final answer
    x = 409,651.05

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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.