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Finding the Fourth Proportional to 418,528.76, 627,922.74 and 144,998.24

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Solution

The fourth proportional to 418,528.76, 627,922.74 and 144,998.24 is: 217,542.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,528.76 : 627,922.74 = 144,998.24 : x
  2. Step 2: Convert to fraction form
    418,528.76/627,922.74 = 144,998.24/x
  3. Step 3: Cross multiply
    418,528.76x = 627,922.74 × 144,998.24
  4. Step 4: Simplify right side
    418,528.76x = 91,047,692,155.98
  5. Step 5: Solve for x
    x = 91,047,692,155.98/418,528.76
  6. Step 6: Final answer
    x = 217,542.26

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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.