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Finding the Fourth Proportional to 420,846.68, 631,288.76 and 154,461.87

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Solution

The fourth proportional to 420,846.68, 631,288.76 and 154,461.87 is: 231,699.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,846.68 : 631,288.76 = 154,461.87 : x
  2. Step 2: Convert to fraction form
    420,846.68/631,288.76 = 154,461.87/x
  3. Step 3: Cross multiply
    420,846.68x = 631,288.76 × 154,461.87
  4. Step 4: Simplify right side
    420,846.68x = 97,510,041,607.27
  5. Step 5: Solve for x
    x = 97,510,041,607.27/420,846.68
  6. Step 6: Final answer
    x = 231,699.68

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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.