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Finding the Fourth Proportional to 312,890.56, 469,312.26 and 99,649.86

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Solution

The fourth proportional to 312,890.56, 469,312.26 and 99,649.86 is: 149,467.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,890.56 : 469,312.26 = 99,649.86 : x
  2. Step 2: Convert to fraction form
    312,890.56/469,312.26 = 99,649.86/x
  3. Step 3: Cross multiply
    312,890.56x = 469,312.26 × 99,649.86
  4. Step 4: Simplify right side
    312,890.56x = 46,766,901,005.28
  5. Step 5: Solve for x
    x = 46,766,901,005.28/312,890.56
  6. Step 6: Final answer
    x = 149,467.28

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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.