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Finding the Fourth Proportional to 420,953.94, 631,679.91 and 154,901.19

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Solution

The fourth proportional to 420,953.94, 631,679.91 and 154,901.19 is: 232,443.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,953.94 : 631,679.91 = 154,901.19 : x
  2. Step 2: Convert to fraction form
    420,953.94/631,679.91 = 154,901.19/x
  3. Step 3: Cross multiply
    420,953.94x = 631,679.91 × 154,901.19
  4. Step 4: Simplify right side
    420,953.94x = 97,847,969,758.09
  5. Step 5: Solve for x
    x = 97,847,969,758.09/420,953.94
  6. Step 6: Final answer
    x = 232,443.41

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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.