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Finding the Fourth Proportional to 493,710.10, 680,851.92 and 340,503.46

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Solution

The fourth proportional to 493,710.10, 680,851.92 and 340,503.46 is: 469,571.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,710.10 : 680,851.92 = 340,503.46 : x
  2. Step 2: Convert to fraction form
    493,710.10/680,851.92 = 340,503.46/x
  3. Step 3: Cross multiply
    493,710.10x = 680,851.92 × 340,503.46
  4. Step 4: Simplify right side
    493,710.10x = 231,832,434,507.64
  5. Step 5: Solve for x
    x = 231,832,434,507.64/493,710.10
  6. Step 6: Final answer
    x = 469,571.99

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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.