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Finding the Fourth Proportional to 420,735.30, 580,636.47 and 257,340.59

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Solution

The fourth proportional to 420,735.30, 580,636.47 and 257,340.59 is: 355,143.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,735.30 : 580,636.47 = 257,340.59 : x
  2. Step 2: Convert to fraction form
    420,735.30/580,636.47 = 257,340.59/x
  3. Step 3: Cross multiply
    420,735.30x = 580,636.47 × 257,340.59
  4. Step 4: Simplify right side
    420,735.30x = 149,421,328,862.14
  5. Step 5: Solve for x
    x = 149,421,328,862.14/420,735.30
  6. Step 6: Final answer
    x = 355,143.31

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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.