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Finding the Fourth Proportional to 648,041.56, 972,062.34 and 204,775

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Solution

The fourth proportional to 648,041.56, 972,062.34 and 204,775 is: 307,162.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,041.56 : 972,062.34 = 204,775 : x
  2. Step 2: Convert to fraction form
    648,041.56/972,062.34 = 204,775/x
  3. Step 3: Cross multiply
    648,041.56x = 972,062.34 × 204,775
  4. Step 4: Simplify right side
    648,041.56x = 199,054,065,673.50
  5. Step 5: Solve for x
    x = 199,054,065,673.50/648,041.56
  6. Step 6: Final answer
    x = 307,162.50

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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.