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Finding the Fourth Proportional to 457,096.40, 630,786.12 and 255,899.60

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Solution

The fourth proportional to 457,096.40, 630,786.12 and 255,899.60 is: 353,137.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,096.40 : 630,786.12 = 255,899.60 : x
  2. Step 2: Convert to fraction form
    457,096.40/630,786.12 = 255,899.60/x
  3. Step 3: Cross multiply
    457,096.40x = 630,786.12 × 255,899.60
  4. Step 4: Simplify right side
    457,096.40x = 161,417,915,793.55
  5. Step 5: Solve for x
    x = 161,417,915,793.55/457,096.40
  6. Step 6: Final answer
    x = 353,137.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.