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Finding the Fourth Proportional to 503,643.30, 755,598.60 and 219,211.80

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Solution

The fourth proportional to 503,643.30, 755,598.60 and 219,211.80 is: 328,875.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,643.30 : 755,598.60 = 219,211.80 : x
  2. Step 2: Convert to fraction form
    503,643.30/755,598.60 = 219,211.80/x
  3. Step 3: Cross multiply
    503,643.30x = 755,598.60 × 219,211.80
  4. Step 4: Simplify right side
    503,643.30x = 165,636,129,183.48
  5. Step 5: Solve for x
    x = 165,636,129,183.48/503,643.30
  6. Step 6: Final answer
    x = 328,875.87

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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.