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Finding the Fourth Proportional to 509,260.76, 763,973.78 and 172,322.12

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Solution

The fourth proportional to 509,260.76, 763,973.78 and 172,322.12 is: 258,511.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,260.76 : 763,973.78 = 172,322.12 : x
  2. Step 2: Convert to fraction form
    509,260.76/763,973.78 = 172,322.12/x
  3. Step 3: Cross multiply
    509,260.76x = 763,973.78 × 172,322.12
  4. Step 4: Simplify right side
    509,260.76x = 131,649,581,394.01
  5. Step 5: Solve for x
    x = 131,649,581,394.01/509,260.76
  6. Step 6: Final answer
    x = 258,511.14

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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.