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Finding the Fourth Proportional to 257,520.45, 386,444.70 and 150,904.20

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Solution

The fourth proportional to 257,520.45, 386,444.70 and 150,904.20 is: 226,452.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,520.45 : 386,444.70 = 150,904.20 : x
  2. Step 2: Convert to fraction form
    257,520.45/386,444.70 = 150,904.20/x
  3. Step 3: Cross multiply
    257,520.45x = 386,444.70 × 150,904.20
  4. Step 4: Simplify right side
    257,520.45x = 58,316,128,297.74
  5. Step 5: Solve for x
    x = 58,316,128,297.74/257,520.45
  6. Step 6: Final answer
    x = 226,452.42

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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.