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Finding the Fourth Proportional to 418,740.98, 577,858.22 and 227,754.32

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Solution

The fourth proportional to 418,740.98, 577,858.22 and 227,754.32 is: 314,298.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,740.98 : 577,858.22 = 227,754.32 : x
  2. Step 2: Convert to fraction form
    418,740.98/577,858.22 = 227,754.32/x
  3. Step 3: Cross multiply
    418,740.98x = 577,858.22 × 227,754.32
  4. Step 4: Simplify right side
    418,740.98x = 131,609,702,778.53
  5. Step 5: Solve for x
    x = 131,609,702,778.53/418,740.98
  6. Step 6: Final answer
    x = 314,298.60

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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.