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Finding the Fourth Proportional to 400,234.66, 552,319.53 and 218,950.18

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Solution

The fourth proportional to 400,234.66, 552,319.53 and 218,950.18 is: 302,148.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,234.66 : 552,319.53 = 218,950.18 : x
  2. Step 2: Convert to fraction form
    400,234.66/552,319.53 = 218,950.18/x
  3. Step 3: Cross multiply
    400,234.66x = 552,319.53 × 218,950.18
  4. Step 4: Simplify right side
    400,234.66x = 120,930,460,511.02
  5. Step 5: Solve for x
    x = 120,930,460,511.02/400,234.66
  6. Step 6: Final answer
    x = 302,148.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.