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Finding the Fourth Proportional to 318,729.60, 478,111.68 and 119,102.40

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Solution

The fourth proportional to 318,729.60, 478,111.68 and 119,102.40 is: 178,660.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,729.60 : 478,111.68 = 119,102.40 : x
  2. Step 2: Convert to fraction form
    318,729.60/478,111.68 = 119,102.40/x
  3. Step 3: Cross multiply
    318,729.60x = 478,111.68 × 119,102.40
  4. Step 4: Simplify right side
    318,729.60x = 56,944,248,556.03
  5. Step 5: Solve for x
    x = 56,944,248,556.03/318,729.60
  6. Step 6: Final answer
    x = 178,660.06

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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.