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Finding the Fourth Proportional to 418,681.82, 628,024.55 and 134,415.56

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Solution

The fourth proportional to 418,681.82, 628,024.55 and 134,415.56 is: 201,623.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,681.82 : 628,024.55 = 134,415.56 : x
  2. Step 2: Convert to fraction form
    418,681.82/628,024.55 = 134,415.56/x
  3. Step 3: Cross multiply
    418,681.82x = 628,024.55 × 134,415.56
  4. Step 4: Simplify right side
    418,681.82x = 84,416,267,769.80
  5. Step 5: Solve for x
    x = 84,416,267,769.80/418,681.82
  6. Step 6: Final answer
    x = 201,623.92

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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.