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Finding the Fourth Proportional to 518,741.82, 778,047.12 and 139,692.80

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Solution

The fourth proportional to 518,741.82, 778,047.12 and 139,692.80 is: 209,521.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,741.82 : 778,047.12 = 139,692.80 : x
  2. Step 2: Convert to fraction form
    518,741.82/778,047.12 = 139,692.80/x
  3. Step 3: Cross multiply
    518,741.82x = 778,047.12 × 139,692.80
  4. Step 4: Simplify right side
    518,741.82x = 108,687,582,669.85
  5. Step 5: Solve for x
    x = 108,687,582,669.85/518,741.82
  6. Step 6: Final answer
    x = 209,521.54

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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.