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Finding the Fourth Proportional to 519,920.40, 779,880.60 and 414,944.40

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Solution

The fourth proportional to 519,920.40, 779,880.60 and 414,944.40 is: 622,416.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,920.40 : 779,880.60 = 414,944.40 : x
  2. Step 2: Convert to fraction form
    519,920.40/779,880.60 = 414,944.40/x
  3. Step 3: Cross multiply
    519,920.40x = 779,880.60 × 414,944.40
  4. Step 4: Simplify right side
    519,920.40x = 323,607,087,638.64
  5. Step 5: Solve for x
    x = 323,607,087,638.64/519,920.40
  6. Step 6: Final answer
    x = 622,416.60

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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.