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Finding the Fourth Proportional to 519,883.80, 778,659.30 and 508,219.80

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Solution

The fourth proportional to 519,883.80, 778,659.30 and 508,219.80 is: 761,189.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,883.80 : 778,659.30 = 508,219.80 : x
  2. Step 2: Convert to fraction form
    519,883.80/778,659.30 = 508,219.80/x
  3. Step 3: Cross multiply
    519,883.80x = 778,659.30 × 508,219.80
  4. Step 4: Simplify right side
    519,883.80x = 395,730,073,714.14
  5. Step 5: Solve for x
    x = 395,730,073,714.14/519,883.80
  6. Step 6: Final answer
    x = 761,189.47

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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.