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Finding the Fourth Proportional to 477,505.91, 716,180.99 and 140,467.72

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Solution

The fourth proportional to 477,505.91, 716,180.99 and 140,467.72 is: 210,678.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,505.91 : 716,180.99 = 140,467.72 : x
  2. Step 2: Convert to fraction form
    477,505.91/716,180.99 = 140,467.72/x
  3. Step 3: Cross multiply
    477,505.91x = 716,180.99 × 140,467.72
  4. Step 4: Simplify right side
    477,505.91x = 100,600,307,191.74
  5. Step 5: Solve for x
    x = 100,600,307,191.74/477,505.91
  6. Step 6: Final answer
    x = 210,678.67

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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.