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Finding the Fourth Proportional to 465,458.40, 642,636.72 and 357,829.92

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Solution

The fourth proportional to 465,458.40, 642,636.72 and 357,829.92 is: 494,039.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,458.40 : 642,636.72 = 357,829.92 : x
  2. Step 2: Convert to fraction form
    465,458.40/642,636.72 = 357,829.92/x
  3. Step 3: Cross multiply
    465,458.40x = 642,636.72 × 357,829.92
  4. Step 4: Simplify right side
    465,458.40x = 229,954,646,106.66
  5. Step 5: Solve for x
    x = 229,954,646,106.66/465,458.40
  6. Step 6: Final answer
    x = 494,039.09

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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.