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Finding the Fourth Proportional to 509,568.48, 764,460.80 and 172,592.80

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Solution

The fourth proportional to 509,568.48, 764,460.80 and 172,592.80 is: 258,925.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,568.48 : 764,460.80 = 172,592.80 : x
  2. Step 2: Convert to fraction form
    509,568.48/764,460.80 = 172,592.80/x
  3. Step 3: Cross multiply
    509,568.48x = 764,460.80 × 172,592.80
  4. Step 4: Simplify right side
    509,568.48x = 131,940,429,962.24
  5. Step 5: Solve for x
    x = 131,940,429,962.24/509,568.48
  6. Step 6: Final answer
    x = 258,925.81

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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.