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Finding the Fourth Proportional to 257,068.80, 385,603.20 and 229,512.60

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Solution

The fourth proportional to 257,068.80, 385,603.20 and 229,512.60 is: 344,268.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,068.80 : 385,603.20 = 229,512.60 : x
  2. Step 2: Convert to fraction form
    257,068.80/385,603.20 = 229,512.60/x
  3. Step 3: Cross multiply
    257,068.80x = 385,603.20 × 229,512.60
  4. Step 4: Simplify right side
    257,068.80x = 88,500,793,000.32
  5. Step 5: Solve for x
    x = 88,500,793,000.32/257,068.80
  6. Step 6: Final answer
    x = 344,268.90

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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.