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Finding the Fourth Proportional to 257,415.20, 386,122.80 and 212,800.40

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Solution

The fourth proportional to 257,415.20, 386,122.80 and 212,800.40 is: 319,200.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,415.20 : 386,122.80 = 212,800.40 : x
  2. Step 2: Convert to fraction form
    257,415.20/386,122.80 = 212,800.40/x
  3. Step 3: Cross multiply
    257,415.20x = 386,122.80 × 212,800.40
  4. Step 4: Simplify right side
    257,415.20x = 82,167,086,289.12
  5. Step 5: Solve for x
    x = 82,167,086,289.12/257,415.20
  6. Step 6: Final answer
    x = 319,200.60

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1.5x scale

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.