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Finding the Fourth Proportional to 355,497.80, 490,154.10 and 334,891.40

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Solution

The fourth proportional to 355,497.80, 490,154.10 and 334,891.40 is: 461,742.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,497.80 : 490,154.10 = 334,891.40 : x
  2. Step 2: Convert to fraction form
    355,497.80/490,154.10 = 334,891.40/x
  3. Step 3: Cross multiply
    355,497.80x = 490,154.10 × 334,891.40
  4. Step 4: Simplify right side
    355,497.80x = 164,148,392,764.74
  5. Step 5: Solve for x
    x = 164,148,392,764.74/355,497.80
  6. Step 6: Final answer
    x = 461,742.36

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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.