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Finding the Fourth Proportional to 509,362.18, 764,196.05 and 205,600.03

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Solution

The fourth proportional to 509,362.18, 764,196.05 and 205,600.03 is: 308,461.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,362.18 : 764,196.05 = 205,600.03 : x
  2. Step 2: Convert to fraction form
    509,362.18/764,196.05 = 205,600.03/x
  3. Step 3: Cross multiply
    509,362.18x = 764,196.05 × 205,600.03
  4. Step 4: Simplify right side
    509,362.18x = 157,118,730,805.88
  5. Step 5: Solve for x
    x = 157,118,730,805.88/509,362.18
  6. Step 6: Final answer
    x = 308,461.71

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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.