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Finding the Fourth Proportional to 468,761.31, 646,465.41 and 307,555.11

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Solution

The fourth proportional to 468,761.31, 646,465.41 and 307,555.11 is: 424,147.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,761.31 : 646,465.41 = 307,555.11 : x
  2. Step 2: Convert to fraction form
    468,761.31/646,465.41 = 307,555.11/x
  3. Step 3: Cross multiply
    468,761.31x = 646,465.41 × 307,555.11
  4. Step 4: Simplify right side
    468,761.31x = 198,823,740,283.75
  5. Step 5: Solve for x
    x = 198,823,740,283.75/468,761.31
  6. Step 6: Final answer
    x = 424,147.08

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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.