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Finding the Fourth Proportional to 307,304, 461,033.76 and 85,688

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Solution

The fourth proportional to 307,304, 461,033.76 and 85,688 is: 128,553.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,304 : 461,033.76 = 85,688 : x
  2. Step 2: Convert to fraction form
    307,304/461,033.76 = 85,688/x
  3. Step 3: Cross multiply
    307,304x = 461,033.76 × 85,688
  4. Step 4: Simplify right side
    307,304x = 39,505,060,826.88
  5. Step 5: Solve for x
    x = 39,505,060,826.88/307,304
  6. Step 6: Final answer
    x = 128,553.68

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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.