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Finding the Fourth Proportional to 448,617.86, 672,212.82 and 313,936.93

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Solution

The fourth proportional to 448,617.86, 672,212.82 and 313,936.93 is: 470,405.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,617.86 : 672,212.82 = 313,936.93 : x
  2. Step 2: Convert to fraction form
    448,617.86/672,212.82 = 313,936.93/x
  3. Step 3: Cross multiply
    448,617.86x = 672,212.82 × 313,936.93
  4. Step 4: Simplify right side
    448,617.86x = 211,032,429,017.44
  5. Step 5: Solve for x
    x = 211,032,429,017.44/448,617.86
  6. Step 6: Final answer
    x = 470,405.77

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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.