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Finding the Fourth Proportional to 312,861.52, 469,379.76 and 102,647.08

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Solution

The fourth proportional to 312,861.52, 469,379.76 and 102,647.08 is: 153,999.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,861.52 : 469,379.76 = 102,647.08 : x
  2. Step 2: Convert to fraction form
    312,861.52/469,379.76 = 102,647.08/x
  3. Step 3: Cross multiply
    312,861.52x = 469,379.76 × 102,647.08
  4. Step 4: Simplify right side
    312,861.52x = 48,180,461,775.10
  5. Step 5: Solve for x
    x = 48,180,461,775.10/312,861.52
  6. Step 6: Final answer
    x = 153,999.32

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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.