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Finding the Fourth Proportional to 520,319.23, 780,466.65 and 239,836.48

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Solution

The fourth proportional to 520,319.23, 780,466.65 and 239,836.48 is: 359,749.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,319.23 : 780,466.65 = 239,836.48 : x
  2. Step 2: Convert to fraction form
    520,319.23/780,466.65 = 239,836.48/x
  3. Step 3: Cross multiply
    520,319.23x = 780,466.65 × 239,836.48
  4. Step 4: Simplify right side
    520,319.23x = 187,184,374,093.39
  5. Step 5: Solve for x
    x = 187,184,374,093.39/520,319.23
  6. Step 6: Final answer
    x = 359,749.10

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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.