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Finding the Fourth Proportional to 519,407.40, 778,916.70 and 182,317.80

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Solution

The fourth proportional to 519,407.40, 778,916.70 and 182,317.80 is: 273,408.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,407.40 : 778,916.70 = 182,317.80 : x
  2. Step 2: Convert to fraction form
    519,407.40/778,916.70 = 182,317.80/x
  3. Step 3: Cross multiply
    519,407.40x = 778,916.70 × 182,317.80
  4. Step 4: Simplify right side
    519,407.40x = 142,010,379,127.26
  5. Step 5: Solve for x
    x = 142,010,379,127.26/519,407.40
  6. Step 6: Final answer
    x = 273,408.46

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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.