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Finding the Fourth Proportional to 314,488.62, 471,645.36 and 104,142.96

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Solution

The fourth proportional to 314,488.62, 471,645.36 and 104,142.96 is: 156,185.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,488.62 : 471,645.36 = 104,142.96 : x
  2. Step 2: Convert to fraction form
    314,488.62/471,645.36 = 104,142.96/x
  3. Step 3: Cross multiply
    314,488.62x = 471,645.36 × 104,142.96
  4. Step 4: Simplify right side
    314,488.62x = 49,118,543,860.67
  5. Step 5: Solve for x
    x = 49,118,543,860.67/314,488.62
  6. Step 6: Final answer
    x = 156,185.44

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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.