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Finding the Fourth Proportional to 418,588.64, 627,041.28 and 193,633.28

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Solution

The fourth proportional to 418,588.64, 627,041.28 and 193,633.28 is: 290,060.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,588.64 : 627,041.28 = 193,633.28 : x
  2. Step 2: Convert to fraction form
    418,588.64/627,041.28 = 193,633.28/x
  3. Step 3: Cross multiply
    418,588.64x = 627,041.28 × 193,633.28
  4. Step 4: Simplify right side
    418,588.64x = 121,416,059,741.80
  5. Step 5: Solve for x
    x = 121,416,059,741.80/418,588.64
  6. Step 6: Final answer
    x = 290,060.57

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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.