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Finding the Fourth Proportional to 632,335.68, 872,648.64 and 345,867.84

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Solution

The fourth proportional to 632,335.68, 872,648.64 and 345,867.84 is: 477,311.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,335.68 : 872,648.64 = 345,867.84 : x
  2. Step 2: Convert to fraction form
    632,335.68/872,648.64 = 345,867.84/x
  3. Step 3: Cross multiply
    632,335.68x = 872,648.64 × 345,867.84
  4. Step 4: Simplify right side
    632,335.68x = 301,821,100,195.74
  5. Step 5: Solve for x
    x = 301,821,100,195.74/632,335.68
  6. Step 6: Final answer
    x = 477,311.51

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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.