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Finding the Fourth Proportional to 325,784.40, 488,503.80 and 115,429.20

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Solution

The fourth proportional to 325,784.40, 488,503.80 and 115,429.20 is: 173,082.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,784.40 : 488,503.80 = 115,429.20 : x
  2. Step 2: Convert to fraction form
    325,784.40/488,503.80 = 115,429.20/x
  3. Step 3: Cross multiply
    325,784.40x = 488,503.80 × 115,429.20
  4. Step 4: Simplify right side
    325,784.40x = 56,387,602,830.96
  5. Step 5: Solve for x
    x = 56,387,602,830.96/325,784.40
  6. Step 6: Final answer
    x = 173,082.57

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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.