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Finding the Fourth Proportional to 509,313.85, 763,495.89 and 172,118.69

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Solution

The fourth proportional to 509,313.85, 763,495.89 and 172,118.69 is: 258,017.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,313.85 : 763,495.89 = 172,118.69 : x
  2. Step 2: Convert to fraction form
    509,313.85/763,495.89 = 172,118.69/x
  3. Step 3: Cross multiply
    509,313.85x = 763,495.89 × 172,118.69
  4. Step 4: Simplify right side
    509,313.85x = 131,411,912,407.18
  5. Step 5: Solve for x
    x = 131,411,912,407.18/509,313.85
  6. Step 6: Final answer
    x = 258,017.55

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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.