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Finding the Fourth Proportional to 357,998.40, 494,035.20 and 205,070.40

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Solution

The fourth proportional to 357,998.40, 494,035.20 and 205,070.40 is: 282,995.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,998.40 : 494,035.20 = 205,070.40 : x
  2. Step 2: Convert to fraction form
    357,998.40/494,035.20 = 205,070.40/x
  3. Step 3: Cross multiply
    357,998.40x = 494,035.20 × 205,070.40
  4. Step 4: Simplify right side
    357,998.40x = 101,311,996,078.08
  5. Step 5: Solve for x
    x = 101,311,996,078.08/357,998.40
  6. Step 6: Final answer
    x = 282,995.67

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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.