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Finding the Fourth Proportional to 401,653.46, 602,500.24 and 131,757.72

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Solution

The fourth proportional to 401,653.46, 602,500.24 and 131,757.72 is: 197,643.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,653.46 : 602,500.24 = 131,757.72 : x
  2. Step 2: Convert to fraction form
    401,653.46/602,500.24 = 131,757.72/x
  3. Step 3: Cross multiply
    401,653.46x = 602,500.24 × 131,757.72
  4. Step 4: Simplify right side
    401,653.46x = 79,384,057,921.85
  5. Step 5: Solve for x
    x = 79,384,057,921.85/401,653.46
  6. Step 6: Final answer
    x = 197,643.16

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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.