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Finding the Fourth Proportional to 312,860.02, 469,377.51 and 102,645.58

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Solution

The fourth proportional to 312,860.02, 469,377.51 and 102,645.58 is: 153,997.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,860.02 : 469,377.51 = 102,645.58 : x
  2. Step 2: Convert to fraction form
    312,860.02/469,377.51 = 102,645.58/x
  3. Step 3: Cross multiply
    312,860.02x = 469,377.51 × 102,645.58
  4. Step 4: Simplify right side
    312,860.02x = 48,179,526,752.91
  5. Step 5: Solve for x
    x = 48,179,526,752.91/312,860.02
  6. Step 6: Final answer
    x = 153,997.07

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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.