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Finding the Fourth Proportional to 272,889.81, 409,408.57 and 154,644.19

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Solution

The fourth proportional to 272,889.81, 409,408.57 and 154,644.19 is: 232,008.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,889.81 : 409,408.57 = 154,644.19 : x
  2. Step 2: Convert to fraction form
    272,889.81/409,408.57 = 154,644.19/x
  3. Step 3: Cross multiply
    272,889.81x = 409,408.57 × 154,644.19
  4. Step 4: Simplify right side
    272,889.81x = 63,312,656,686.71
  5. Step 5: Solve for x
    x = 63,312,656,686.71/272,889.81
  6. Step 6: Final answer
    x = 232,008.14

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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.