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Finding the Fourth Proportional to 509,156.84, 763,735.23 and 130,078.37

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Solution

The fourth proportional to 509,156.84, 763,735.23 and 130,078.37 is: 195,117.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,156.84 : 763,735.23 = 130,078.37 : x
  2. Step 2: Convert to fraction form
    509,156.84/763,735.23 = 130,078.37/x
  3. Step 3: Cross multiply
    509,156.84x = 763,735.23 × 130,078.37
  4. Step 4: Simplify right side
    509,156.84x = 99,345,430,011.30
  5. Step 5: Solve for x
    x = 99,345,430,011.30/509,156.84
  6. Step 6: Final answer
    x = 195,117.54

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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.