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Finding the Fourth Proportional to 468,638.78, 646,562.80 and 307,478.78

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Solution

The fourth proportional to 468,638.78, 646,562.80 and 307,478.78 is: 424,216.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,638.78 : 646,562.80 = 307,478.78 : x
  2. Step 2: Convert to fraction form
    468,638.78/646,562.80 = 307,478.78/x
  3. Step 3: Cross multiply
    468,638.78x = 646,562.80 × 307,478.78
  4. Step 4: Simplify right side
    468,638.78x = 198,804,336,935.87
  5. Step 5: Solve for x
    x = 198,804,336,935.87/468,638.78
  6. Step 6: Final answer
    x = 424,216.58

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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.