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Finding the Fourth Proportional to 390,596.51, 538,806.16 and 227,234.67

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Solution

The fourth proportional to 390,596.51, 538,806.16 and 227,234.67 is: 313,457.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,596.51 : 538,806.16 = 227,234.67 : x
  2. Step 2: Convert to fraction form
    390,596.51/538,806.16 = 227,234.67/x
  3. Step 3: Cross multiply
    390,596.51x = 538,806.16 × 227,234.67
  4. Step 4: Simplify right side
    390,596.51x = 122,435,438,225.09
  5. Step 5: Solve for x
    x = 122,435,438,225.09/390,596.51
  6. Step 6: Final answer
    x = 313,457.58

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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.