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Finding the Fourth Proportional to 509,698.61, 764,544.48 and 172,976.32

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Solution

The fourth proportional to 509,698.61, 764,544.48 and 172,976.32 is: 259,463.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,698.61 : 764,544.48 = 172,976.32 : x
  2. Step 2: Convert to fraction form
    509,698.61/764,544.48 = 172,976.32/x
  3. Step 3: Cross multiply
    509,698.61x = 764,544.48 × 172,976.32
  4. Step 4: Simplify right side
    509,698.61x = 132,248,093,225.11
  5. Step 5: Solve for x
    x = 132,248,093,225.11/509,698.61
  6. Step 6: Final answer
    x = 259,463.32

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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.