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Finding the Fourth Proportional to 469,910.31, 648,458.90 and 255,045.77

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Solution

The fourth proportional to 469,910.31, 648,458.90 and 255,045.77 is: 351,953.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,910.31 : 648,458.90 = 255,045.77 : x
  2. Step 2: Convert to fraction form
    469,910.31/648,458.90 = 255,045.77/x
  3. Step 3: Cross multiply
    469,910.31x = 648,458.90 × 255,045.77
  4. Step 4: Simplify right side
    469,910.31x = 165,386,694,946.33
  5. Step 5: Solve for x
    x = 165,386,694,946.33/469,910.31
  6. Step 6: Final answer
    x = 351,953.75

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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.