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Finding the Fourth Proportional to 509,718.72, 764,282.88 and 172,646.40

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Solution

The fourth proportional to 509,718.72, 764,282.88 and 172,646.40 is: 258,869.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,718.72 : 764,282.88 = 172,646.40 : x
  2. Step 2: Convert to fraction form
    509,718.72/764,282.88 = 172,646.40/x
  3. Step 3: Cross multiply
    509,718.72x = 764,282.88 × 172,646.40
  4. Step 4: Simplify right side
    509,718.72x = 131,950,687,813.63
  5. Step 5: Solve for x
    x = 131,950,687,813.63/509,718.72
  6. Step 6: Final answer
    x = 258,869.61

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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.