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Finding the Fourth Proportional to 518,005.10, 777,113.12 and 218,486.79

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Solution

The fourth proportional to 518,005.10, 777,113.12 and 218,486.79 is: 327,774.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,005.10 : 777,113.12 = 218,486.79 : x
  2. Step 2: Convert to fraction form
    518,005.10/777,113.12 = 218,486.79/x
  3. Step 3: Cross multiply
    518,005.10x = 777,113.12 × 218,486.79
  4. Step 4: Simplify right side
    518,005.10x = 169,788,951,601.90
  5. Step 5: Solve for x
    x = 169,788,951,601.90/518,005.10
  6. Step 6: Final answer
    x = 327,774.67

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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.