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Finding the Fourth Proportional to 613,350.14, 920,213.45 and 314,040.86

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Solution

The fourth proportional to 613,350.14, 920,213.45 and 314,040.86 is: 471,157.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,350.14 : 920,213.45 = 314,040.86 : x
  2. Step 2: Convert to fraction form
    613,350.14/920,213.45 = 314,040.86/x
  3. Step 3: Cross multiply
    613,350.14x = 920,213.45 × 314,040.86
  4. Step 4: Simplify right side
    613,350.14x = 288,984,623,221.57
  5. Step 5: Solve for x
    x = 288,984,623,221.57/613,350.14
  6. Step 6: Final answer
    x = 471,157.67

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1.5x scale

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.