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Finding the Fourth Proportional to 418,431.96, 577,432.80 and 227,440.44

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Solution

The fourth proportional to 418,431.96, 577,432.80 and 227,440.44 is: 313,866.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,431.96 : 577,432.80 = 227,440.44 : x
  2. Step 2: Convert to fraction form
    418,431.96/577,432.80 = 227,440.44/x
  3. Step 3: Cross multiply
    418,431.96x = 577,432.80 × 227,440.44
  4. Step 4: Simplify right side
    418,431.96x = 131,331,570,102.43
  5. Step 5: Solve for x
    x = 131,331,570,102.43/418,431.96
  6. Step 6: Final answer
    x = 313,866.01

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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.