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Finding the Fourth Proportional to 458,346.64, 632,634.63 and 313,211.20

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Solution

The fourth proportional to 458,346.64, 632,634.63 and 313,211.20 is: 432,310.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,346.64 : 632,634.63 = 313,211.20 : x
  2. Step 2: Convert to fraction form
    458,346.64/632,634.63 = 313,211.20/x
  3. Step 3: Cross multiply
    458,346.64x = 632,634.63 × 313,211.20
  4. Step 4: Simplify right side
    458,346.64x = 198,148,251,623.86
  5. Step 5: Solve for x
    x = 198,148,251,623.86/458,346.64
  6. Step 6: Final answer
    x = 432,310.91

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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.