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Finding the Fourth Proportional to 257,435.20, 386,152.80 and 212,820.40

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Solution

The fourth proportional to 257,435.20, 386,152.80 and 212,820.40 is: 319,230.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,435.20 : 386,152.80 = 212,820.40 : x
  2. Step 2: Convert to fraction form
    257,435.20/386,152.80 = 212,820.40/x
  3. Step 3: Cross multiply
    257,435.20x = 386,152.80 × 212,820.40
  4. Step 4: Simplify right side
    257,435.20x = 82,181,193,357.12
  5. Step 5: Solve for x
    x = 82,181,193,357.12/257,435.20
  6. Step 6: Final answer
    x = 319,230.60

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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.