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Finding the Fourth Proportional to 477,358.86, 715,927.41 and 140,309.34

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Solution

The fourth proportional to 477,358.86, 715,927.41 and 140,309.34 is: 210,431.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,358.86 : 715,927.41 = 140,309.34 : x
  2. Step 2: Convert to fraction form
    477,358.86/715,927.41 = 140,309.34/x
  3. Step 3: Cross multiply
    477,358.86x = 715,927.41 × 140,309.34
  4. Step 4: Simplify right side
    477,358.86x = 100,451,302,385.01
  5. Step 5: Solve for x
    x = 100,451,302,385.01/477,358.86
  6. Step 6: Final answer
    x = 210,431.42

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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.