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Finding the Fourth Proportional to 418,407.56, 577,408.32 and 227,420.96

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Solution

The fourth proportional to 418,407.56, 577,408.32 and 227,420.96 is: 313,844.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,407.56 : 577,408.32 = 227,420.96 : x
  2. Step 2: Convert to fraction form
    418,407.56/577,408.32 = 227,420.96/x
  3. Step 3: Cross multiply
    418,407.56x = 577,408.32 × 227,420.96
  4. Step 4: Simplify right side
    418,407.56x = 131,314,754,446.39
  5. Step 5: Solve for x
    x = 131,314,754,446.39/418,407.56
  6. Step 6: Final answer
    x = 313,844.12

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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.