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Finding the Fourth Proportional to 418,867, 628,300.56 and 178,946.68

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Solution

The fourth proportional to 418,867, 628,300.56 and 178,946.68 is: 268,420.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,867 : 628,300.56 = 178,946.68 : x
  2. Step 2: Convert to fraction form
    418,867/628,300.56 = 178,946.68/x
  3. Step 3: Cross multiply
    418,867x = 628,300.56 × 178,946.68
  4. Step 4: Simplify right side
    418,867x = 112,432,299,254.14
  5. Step 5: Solve for x
    x = 112,432,299,254.14/418,867
  6. Step 6: Final answer
    x = 268,420.05

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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.