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Finding the Fourth Proportional to 401,475.15, 602,212.32 and 120,992.40

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Solution

The fourth proportional to 401,475.15, 602,212.32 and 120,992.40 is: 181,488.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,475.15 : 602,212.32 = 120,992.40 : x
  2. Step 2: Convert to fraction form
    401,475.15/602,212.32 = 120,992.40/x
  3. Step 3: Cross multiply
    401,475.15x = 602,212.32 × 120,992.40
  4. Step 4: Simplify right side
    401,475.15x = 72,863,113,906.37
  5. Step 5: Solve for x
    x = 72,863,113,906.37/401,475.15
  6. Step 6: Final answer
    x = 181,488.48

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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.