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Finding the Fourth Proportional to 509,266.30, 763,978.70 and 154,195.78

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Solution

The fourth proportional to 509,266.30, 763,978.70 and 154,195.78 is: 231,317.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,266.30 : 763,978.70 = 154,195.78 : x
  2. Step 2: Convert to fraction form
    509,266.30/763,978.70 = 154,195.78/x
  3. Step 3: Cross multiply
    509,266.30x = 763,978.70 × 154,195.78
  4. Step 4: Simplify right side
    509,266.30x = 117,802,291,549.89
  5. Step 5: Solve for x
    x = 117,802,291,549.89/509,266.30
  6. Step 6: Final answer
    x = 231,317.67

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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.