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Finding the Fourth Proportional to 328,549.42, 492,748.80 and 91,908.82

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Solution

The fourth proportional to 328,549.42, 492,748.80 and 91,908.82 is: 137,842.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,549.42 : 492,748.80 = 91,908.82 : x
  2. Step 2: Convert to fraction form
    328,549.42/492,748.80 = 91,908.82/x
  3. Step 3: Cross multiply
    328,549.42x = 492,748.80 × 91,908.82
  4. Step 4: Simplify right side
    328,549.42x = 45,287,960,764.42
  5. Step 5: Solve for x
    x = 45,287,960,764.42/328,549.42
  6. Step 6: Final answer
    x = 137,842.16

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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.