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Finding the Fourth Proportional to 519,622.80, 778,705.20 and 413,188.80

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Solution

The fourth proportional to 519,622.80, 778,705.20 and 413,188.80 is: 619,203.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,622.80 : 778,705.20 = 413,188.80 : x
  2. Step 2: Convert to fraction form
    519,622.80/778,705.20 = 413,188.80/x
  3. Step 3: Cross multiply
    519,622.80x = 778,705.20 × 413,188.80
  4. Step 4: Simplify right side
    519,622.80x = 321,752,267,141.76
  5. Step 5: Solve for x
    x = 321,752,267,141.76/519,622.80
  6. Step 6: Final answer
    x = 619,203.52

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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.