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Finding the Fourth Proportional to 520,949.28, 780,149.52 and 470,462.52

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Solution

The fourth proportional to 520,949.28, 780,149.52 and 470,462.52 is: 704,542.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,949.28 : 780,149.52 = 470,462.52 : x
  2. Step 2: Convert to fraction form
    520,949.28/780,149.52 = 470,462.52/x
  3. Step 3: Cross multiply
    520,949.28x = 780,149.52 × 470,462.52
  4. Step 4: Simplify right side
    520,949.28x = 367,031,109,155.99
  5. Step 5: Solve for x
    x = 367,031,109,155.99/520,949.28
  6. Step 6: Final answer
    x = 704,542.89

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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.