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Finding the Fourth Proportional to 468,764.31, 646,469.55 and 307,558.11

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Solution

The fourth proportional to 468,764.31, 646,469.55 and 307,558.11 is: 424,151.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,764.31 : 646,469.55 = 307,558.11 : x
  2. Step 2: Convert to fraction form
    468,764.31/646,469.55 = 307,558.11/x
  3. Step 3: Cross multiply
    468,764.31x = 646,469.55 × 307,558.11
  4. Step 4: Simplify right side
    468,764.31x = 198,826,952,970.55
  5. Step 5: Solve for x
    x = 198,826,952,970.55/468,764.31
  6. Step 6: Final answer
    x = 424,151.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.