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Finding the Fourth Proportional to 298,950.34, 412,318.18 and 191,530.43

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Solution

The fourth proportional to 298,950.34, 412,318.18 and 191,530.43 is: 264,162.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,950.34 : 412,318.18 = 191,530.43 : x
  2. Step 2: Convert to fraction form
    298,950.34/412,318.18 = 191,530.43/x
  3. Step 3: Cross multiply
    298,950.34x = 412,318.18 × 191,530.43
  4. Step 4: Simplify right side
    298,950.34x = 78,971,478,312.22
  5. Step 5: Solve for x
    x = 78,971,478,312.22/298,950.34
  6. Step 6: Final answer
    x = 264,162.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.