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Finding the Fourth Proportional to 394,308.96, 591,632.91 and 128,151.06

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Solution

The fourth proportional to 394,308.96, 591,632.91 and 128,151.06 is: 192,281.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,308.96 : 591,632.91 = 128,151.06 : x
  2. Step 2: Convert to fraction form
    394,308.96/591,632.91 = 128,151.06/x
  3. Step 3: Cross multiply
    394,308.96x = 591,632.91 × 128,151.06
  4. Step 4: Simplify right side
    394,308.96x = 75,818,384,547.38
  5. Step 5: Solve for x
    x = 75,818,384,547.38/394,308.96
  6. Step 6: Final answer
    x = 192,281.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.