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Finding the Fourth Proportional to 297,811.60, 446,717.40 and 213,830.80

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Solution

The fourth proportional to 297,811.60, 446,717.40 and 213,830.80 is: 320,746.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,811.60 : 446,717.40 = 213,830.80 : x
  2. Step 2: Convert to fraction form
    297,811.60/446,717.40 = 213,830.80/x
  3. Step 3: Cross multiply
    297,811.60x = 446,717.40 × 213,830.80
  4. Step 4: Simplify right side
    297,811.60x = 95,521,939,015.92
  5. Step 5: Solve for x
    x = 95,521,939,015.92/297,811.60
  6. Step 6: Final answer
    x = 320,746.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.