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Finding the Fourth Proportional to 358,070.82, 494,200.89 and 205,116.90

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Solution

The fourth proportional to 358,070.82, 494,200.89 and 205,116.90 is: 283,097.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,070.82 : 494,200.89 = 205,116.90 : x
  2. Step 2: Convert to fraction form
    358,070.82/494,200.89 = 205,116.90/x
  3. Step 3: Cross multiply
    358,070.82x = 494,200.89 × 205,116.90
  4. Step 4: Simplify right side
    358,070.82x = 101,368,954,534.04
  5. Step 5: Solve for x
    x = 101,368,954,534.04/358,070.82
  6. Step 6: Final answer
    x = 283,097.50

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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.