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Finding the Fourth Proportional to 391,410.80, 540,312.20 and 264,258.64

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Solution

The fourth proportional to 391,410.80, 540,312.20 and 264,258.64 is: 364,788.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,410.80 : 540,312.20 = 264,258.64 : x
  2. Step 2: Convert to fraction form
    391,410.80/540,312.20 = 264,258.64/x
  3. Step 3: Cross multiply
    391,410.80x = 540,312.20 × 264,258.64
  4. Step 4: Simplify right side
    391,410.80x = 142,782,167,147.41
  5. Step 5: Solve for x
    x = 142,782,167,147.41/391,410.80
  6. Step 6: Final answer
    x = 364,788.52

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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.