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Finding the Fourth Proportional to 309,089.79, 463,634.69 and 168,771.87

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Solution

The fourth proportional to 309,089.79, 463,634.69 and 168,771.87 is: 253,157.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,089.79 : 463,634.69 = 168,771.87 : x
  2. Step 2: Convert to fraction form
    309,089.79/463,634.69 = 168,771.87/x
  3. Step 3: Cross multiply
    309,089.79x = 463,634.69 × 168,771.87
  4. Step 4: Simplify right side
    309,089.79x = 78,248,492,784.31
  5. Step 5: Solve for x
    x = 78,248,492,784.31/309,089.79
  6. Step 6: Final answer
    x = 253,157.81

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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.