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Finding the Fourth Proportional to 509,253.51, 763,962.89 and 172,314.87

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Solution

The fourth proportional to 509,253.51, 763,962.89 and 172,314.87 is: 258,500.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,253.51 : 763,962.89 = 172,314.87 : x
  2. Step 2: Convert to fraction form
    509,253.51/763,962.89 = 172,314.87/x
  3. Step 3: Cross multiply
    509,253.51x = 763,962.89 × 172,314.87
  4. Step 4: Simplify right side
    509,253.51x = 131,642,165,213.60
  5. Step 5: Solve for x
    x = 131,642,165,213.60/509,253.51
  6. Step 6: Final answer
    x = 258,500.26

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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.