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Finding the Fourth Proportional to 509,246.52, 763,908.66 and 154,289.94

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Solution

The fourth proportional to 509,246.52, 763,908.66 and 154,289.94 is: 231,446.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,246.52 : 763,908.66 = 154,289.94 : x
  2. Step 2: Convert to fraction form
    509,246.52/763,908.66 = 154,289.94/x
  3. Step 3: Cross multiply
    509,246.52x = 763,908.66 × 154,289.94
  4. Step 4: Simplify right side
    509,246.52x = 117,863,421,316.88
  5. Step 5: Solve for x
    x = 117,863,421,316.88/509,246.52
  6. Step 6: Final answer
    x = 231,446.69

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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.