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Finding the Fourth Proportional to 648,457, 972,689.82 and 205,225

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Solution

The fourth proportional to 648,457, 972,689.82 and 205,225 is: 307,838.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,457 : 972,689.82 = 205,225 : x
  2. Step 2: Convert to fraction form
    648,457/972,689.82 = 205,225/x
  3. Step 3: Cross multiply
    648,457x = 972,689.82 × 205,225
  4. Step 4: Simplify right side
    648,457x = 199,620,268,309.50
  5. Step 5: Solve for x
    x = 199,620,268,309.50/648,457
  6. Step 6: Final answer
    x = 307,838.87

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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.