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Finding the Fourth Proportional to 318,989.72, 478,468.64 and 119,295.40

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Solution

The fourth proportional to 318,989.72, 478,468.64 and 119,295.40 is: 178,937.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,989.72 : 478,468.64 = 119,295.40 : x
  2. Step 2: Convert to fraction form
    318,989.72/478,468.64 = 119,295.40/x
  3. Step 3: Cross multiply
    318,989.72x = 478,468.64 × 119,295.40
  4. Step 4: Simplify right side
    318,989.72x = 57,079,107,796.26
  5. Step 5: Solve for x
    x = 57,079,107,796.26/318,989.72
  6. Step 6: Final answer
    x = 178,937.14

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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.