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Finding the Fourth Proportional to 420,656.87, 631,068.48 and 154,419.69

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Solution

The fourth proportional to 420,656.87, 631,068.48 and 154,419.69 is: 231,660.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,656.87 : 631,068.48 = 154,419.69 : x
  2. Step 2: Convert to fraction form
    420,656.87/631,068.48 = 154,419.69/x
  3. Step 3: Cross multiply
    420,656.87x = 631,068.48 × 154,419.69
  4. Step 4: Simplify right side
    420,656.87x = 97,449,398,278.27
  5. Step 5: Solve for x
    x = 97,449,398,278.27/420,656.87
  6. Step 6: Final answer
    x = 231,660.07

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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.