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Finding the Fourth Proportional to 420,897.12, 631,277.64 and 154,591.80

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Solution

The fourth proportional to 420,897.12, 631,277.64 and 154,591.80 is: 231,862.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,897.12 : 631,277.64 = 154,591.80 : x
  2. Step 2: Convert to fraction form
    420,897.12/631,277.64 = 154,591.80/x
  3. Step 3: Cross multiply
    420,897.12x = 631,277.64 × 154,591.80
  4. Step 4: Simplify right side
    420,897.12x = 97,590,346,667.35
  5. Step 5: Solve for x
    x = 97,590,346,667.35/420,897.12
  6. Step 6: Final answer
    x = 231,862.71

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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.