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Finding the Fourth Proportional to 313,326.96, 470,005.80 and 100,118.64

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Solution

The fourth proportional to 313,326.96, 470,005.80 and 100,118.64 is: 150,182.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,326.96 : 470,005.80 = 100,118.64 : x
  2. Step 2: Convert to fraction form
    313,326.96/470,005.80 = 100,118.64/x
  3. Step 3: Cross multiply
    313,326.96x = 470,005.80 × 100,118.64
  4. Step 4: Simplify right side
    313,326.96x = 47,056,341,488.11
  5. Step 5: Solve for x
    x = 47,056,341,488.11/313,326.96
  6. Step 6: Final answer
    x = 150,182.87

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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.