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Finding the Fourth Proportional to 420,881.30, 631,321.95 and 154,526.57

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Solution

The fourth proportional to 420,881.30, 631,321.95 and 154,526.57 is: 231,789.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,881.30 : 631,321.95 = 154,526.57 : x
  2. Step 2: Convert to fraction form
    420,881.30/631,321.95 = 154,526.57/x
  3. Step 3: Cross multiply
    420,881.30x = 631,321.95 × 154,526.57
  4. Step 4: Simplify right side
    420,881.30x = 97,556,017,656.99
  5. Step 5: Solve for x
    x = 97,556,017,656.99/420,881.30
  6. Step 6: Final answer
    x = 231,789.86

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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.