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Finding the Fourth Proportional to 289,330.80, 433,996.20 and 102,361.20

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Solution

The fourth proportional to 289,330.80, 433,996.20 and 102,361.20 is: 153,541.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,330.80 : 433,996.20 = 102,361.20 : x
  2. Step 2: Convert to fraction form
    289,330.80/433,996.20 = 102,361.20/x
  3. Step 3: Cross multiply
    289,330.80x = 433,996.20 × 102,361.20
  4. Step 4: Simplify right side
    289,330.80x = 44,424,371,827.44
  5. Step 5: Solve for x
    x = 44,424,371,827.44/289,330.80
  6. Step 6: Final answer
    x = 153,541.80

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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.