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Finding the Fourth Proportional to 307,568.30, 461,352.45 and 257,801.90

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Solution

The fourth proportional to 307,568.30, 461,352.45 and 257,801.90 is: 386,702.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,568.30 : 461,352.45 = 257,801.90 : x
  2. Step 2: Convert to fraction form
    307,568.30/461,352.45 = 257,801.90/x
  3. Step 3: Cross multiply
    307,568.30x = 461,352.45 × 257,801.90
  4. Step 4: Simplify right side
    307,568.30x = 118,937,538,179.66
  5. Step 5: Solve for x
    x = 118,937,538,179.66/307,568.30
  6. Step 6: Final answer
    x = 386,702.85

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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.