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Finding the Fourth Proportional to 323,030.40, 484,372.80 and 135,830.40

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Solution

The fourth proportional to 323,030.40, 484,372.80 and 135,830.40 is: 203,672.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,030.40 : 484,372.80 = 135,830.40 : x
  2. Step 2: Convert to fraction form
    323,030.40/484,372.80 = 135,830.40/x
  3. Step 3: Cross multiply
    323,030.40x = 484,372.80 × 135,830.40
  4. Step 4: Simplify right side
    323,030.40x = 65,792,551,173.12
  5. Step 5: Solve for x
    x = 65,792,551,173.12/323,030.40
  6. Step 6: Final answer
    x = 203,672.94

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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.