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Finding the Fourth Proportional to 418,630.17, 577,706.67 and 227,643.60

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Solution

The fourth proportional to 418,630.17, 577,706.67 and 227,643.60 is: 314,146.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,630.17 : 577,706.67 = 227,643.60 : x
  2. Step 2: Convert to fraction form
    418,630.17/577,706.67 = 227,643.60/x
  3. Step 3: Cross multiply
    418,630.17x = 577,706.67 × 227,643.60
  4. Step 4: Simplify right side
    418,630.17x = 131,511,226,102.81
  5. Step 5: Solve for x
    x = 131,511,226,102.81/418,630.17
  6. Step 6: Final answer
    x = 314,146.56

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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.