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Finding the Fourth Proportional to 509,138.40, 763,707.60 and 446,930.40

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Solution

The fourth proportional to 509,138.40, 763,707.60 and 446,930.40 is: 670,395.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,138.40 : 763,707.60 = 446,930.40 : x
  2. Step 2: Convert to fraction form
    509,138.40/763,707.60 = 446,930.40/x
  3. Step 3: Cross multiply
    509,138.40x = 763,707.60 × 446,930.40
  4. Step 4: Simplify right side
    509,138.40x = 341,324,143,151.04
  5. Step 5: Solve for x
    x = 341,324,143,151.04/509,138.40
  6. Step 6: Final answer
    x = 670,395.60

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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.