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Finding the Fourth Proportional to 270,491.40, 405,737.10 and 120,731.40

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Solution

The fourth proportional to 270,491.40, 405,737.10 and 120,731.40 is: 181,097.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,491.40 : 405,737.10 = 120,731.40 : x
  2. Step 2: Convert to fraction form
    270,491.40/405,737.10 = 120,731.40/x
  3. Step 3: Cross multiply
    270,491.40x = 405,737.10 × 120,731.40
  4. Step 4: Simplify right side
    270,491.40x = 48,985,208,114.94
  5. Step 5: Solve for x
    x = 48,985,208,114.94/270,491.40
  6. Step 6: Final answer
    x = 181,097.10

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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.