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Finding the Fourth Proportional to 509,089.65, 763,636.29 and 172,133.09

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Solution

The fourth proportional to 509,089.65, 763,636.29 and 172,133.09 is: 258,200.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,089.65 : 763,636.29 = 172,133.09 : x
  2. Step 2: Convert to fraction form
    509,089.65/763,636.29 = 172,133.09/x
  3. Step 3: Cross multiply
    509,089.65x = 763,636.29 × 172,133.09
  4. Step 4: Simplify right side
    509,089.65x = 131,447,074,233.84
  5. Step 5: Solve for x
    x = 131,447,074,233.84/509,089.65
  6. Step 6: Final answer
    x = 258,200.25

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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.