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Finding the Fourth Proportional to 519,713.70, 778,987.35 and 220,143.30

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Solution

The fourth proportional to 519,713.70, 778,987.35 and 220,143.30 is: 329,967.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,713.70 : 778,987.35 = 220,143.30 : x
  2. Step 2: Convert to fraction form
    519,713.70/778,987.35 = 220,143.30/x
  3. Step 3: Cross multiply
    519,713.70x = 778,987.35 × 220,143.30
  4. Step 4: Simplify right side
    519,713.70x = 171,488,845,887.26
  5. Step 5: Solve for x
    x = 171,488,845,887.26/519,713.70
  6. Step 6: Final answer
    x = 329,967.91

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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.