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Finding the Fourth Proportional to 420,881.68, 631,322.52 and 154,526.95

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Solution

The fourth proportional to 420,881.68, 631,322.52 and 154,526.95 is: 231,790.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,881.68 : 631,322.52 = 154,526.95 : x
  2. Step 2: Convert to fraction form
    420,881.68/631,322.52 = 154,526.95/x
  3. Step 3: Cross multiply
    420,881.68x = 631,322.52 × 154,526.95
  4. Step 4: Simplify right side
    420,881.68x = 97,556,341,903.61
  5. Step 5: Solve for x
    x = 97,556,341,903.61/420,881.68
  6. Step 6: Final answer
    x = 231,790.42

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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.