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Finding the Fourth Proportional to 630,229.50, 869,726.96 and 343,749.50

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Solution

The fourth proportional to 630,229.50, 869,726.96 and 343,749.50 is: 474,379.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,229.50 : 869,726.96 = 343,749.50 : x
  2. Step 2: Convert to fraction form
    630,229.50/869,726.96 = 343,749.50/x
  3. Step 3: Cross multiply
    630,229.50x = 869,726.96 × 343,749.50
  4. Step 4: Simplify right side
    630,229.50x = 298,968,207,636.52
  5. Step 5: Solve for x
    x = 298,968,207,636.52/630,229.50
  6. Step 6: Final answer
    x = 474,379.90

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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.