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Finding the Fourth Proportional to 509,000.36, 763,472.46 and 209,405.12

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Solution

The fourth proportional to 509,000.36, 763,472.46 and 209,405.12 is: 314,096.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,000.36 : 763,472.46 = 209,405.12 : x
  2. Step 2: Convert to fraction form
    509,000.36/763,472.46 = 209,405.12/x
  3. Step 3: Cross multiply
    509,000.36x = 763,472.46 × 209,405.12
  4. Step 4: Simplify right side
    509,000.36x = 159,875,042,103.00
  5. Step 5: Solve for x
    x = 159,875,042,103.00/509,000.36
  6. Step 6: Final answer
    x = 314,096.13

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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.