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Finding the Fourth Proportional to 418,600.56, 628,295.40 and 152,618.16

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Solution

The fourth proportional to 418,600.56, 628,295.40 and 152,618.16 is: 229,071.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,600.56 : 628,295.40 = 152,618.16 : x
  2. Step 2: Convert to fraction form
    418,600.56/628,295.40 = 152,618.16/x
  3. Step 3: Cross multiply
    418,600.56x = 628,295.40 × 152,618.16
  4. Step 4: Simplify right side
    418,600.56x = 95,889,287,884.46
  5. Step 5: Solve for x
    x = 95,889,287,884.46/418,600.56
  6. Step 6: Final answer
    x = 229,071.09

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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.