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Finding the Fourth Proportional to 519,580.80, 778,982.40 and 283,190.40

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Solution

The fourth proportional to 519,580.80, 778,982.40 and 283,190.40 is: 424,573.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,580.80 : 778,982.40 = 283,190.40 : x
  2. Step 2: Convert to fraction form
    519,580.80/778,982.40 = 283,190.40/x
  3. Step 3: Cross multiply
    519,580.80x = 778,982.40 × 283,190.40
  4. Step 4: Simplify right side
    519,580.80x = 220,600,337,448.96
  5. Step 5: Solve for x
    x = 220,600,337,448.96/519,580.80
  6. Step 6: Final answer
    x = 424,573.69

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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.