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Finding the Fourth Proportional to 519,021.12, 778,881 and 182,064.96

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Solution

The fourth proportional to 519,021.12, 778,881 and 182,064.96 is: 273,219.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,021.12 : 778,881 = 182,064.96 : x
  2. Step 2: Convert to fraction form
    519,021.12/778,881 = 182,064.96/x
  3. Step 3: Cross multiply
    519,021.12x = 778,881 × 182,064.96
  4. Step 4: Simplify right side
    519,021.12x = 141,806,938,109.76
  5. Step 5: Solve for x
    x = 141,806,938,109.76/519,021.12
  6. Step 6: Final answer
    x = 273,219.98

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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.