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Finding the Fourth Proportional to 257,712.40, 386,050.20 and 178,915.60

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Solution

The fourth proportional to 257,712.40, 386,050.20 and 178,915.60 is: 268,013.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,712.40 : 386,050.20 = 178,915.60 : x
  2. Step 2: Convert to fraction form
    257,712.40/386,050.20 = 178,915.60/x
  3. Step 3: Cross multiply
    257,712.40x = 386,050.20 × 178,915.60
  4. Step 4: Simplify right side
    257,712.40x = 69,070,403,163.12
  5. Step 5: Solve for x
    x = 69,070,403,163.12/257,712.40
  6. Step 6: Final answer
    x = 268,013.50

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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.