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Finding the Fourth Proportional to 271,812.88, 407,557.80 and 103,345.53

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Solution

The fourth proportional to 271,812.88, 407,557.80 and 103,345.53 is: 154,956.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,812.88 : 407,557.80 = 103,345.53 : x
  2. Step 2: Convert to fraction form
    271,812.88/407,557.80 = 103,345.53/x
  3. Step 3: Cross multiply
    271,812.88x = 407,557.80 × 103,345.53
  4. Step 4: Simplify right side
    271,812.88x = 42,119,276,846.63
  5. Step 5: Solve for x
    x = 42,119,276,846.63/271,812.88
  6. Step 6: Final answer
    x = 154,956.88

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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.