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Finding the Fourth Proportional to 507,805.56, 761,048.52 and 207,945.96

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Solution

The fourth proportional to 507,805.56, 761,048.52 and 207,945.96 is: 311,648.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,805.56 : 761,048.52 = 207,945.96 : x
  2. Step 2: Convert to fraction form
    507,805.56/761,048.52 = 207,945.96/x
  3. Step 3: Cross multiply
    507,805.56x = 761,048.52 × 207,945.96
  4. Step 4: Simplify right side
    507,805.56x = 158,256,965,097.98
  5. Step 5: Solve for x
    x = 158,256,965,097.98/507,805.56
  6. Step 6: Final answer
    x = 311,648.74

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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.