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Finding the Fourth Proportional to 401,654.46, 602,501.74 and 131,758.72

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Solution

The fourth proportional to 401,654.46, 602,501.74 and 131,758.72 is: 197,644.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,654.46 : 602,501.74 = 131,758.72 : x
  2. Step 2: Convert to fraction form
    401,654.46/602,501.74 = 131,758.72/x
  3. Step 3: Cross multiply
    401,654.46x = 602,501.74 × 131,758.72
  4. Step 4: Simplify right side
    401,654.46x = 79,384,858,060.17
  5. Step 5: Solve for x
    x = 79,384,858,060.17/401,654.46
  6. Step 6: Final answer
    x = 197,644.66

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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.