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Finding the Fourth Proportional to 328,052.60, 492,098.34 and 103,420.16

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Solution

The fourth proportional to 328,052.60, 492,098.34 and 103,420.16 is: 155,136.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,052.60 : 492,098.34 = 103,420.16 : x
  2. Step 2: Convert to fraction form
    328,052.60/492,098.34 = 103,420.16/x
  3. Step 3: Cross multiply
    328,052.60x = 492,098.34 × 103,420.16
  4. Step 4: Simplify right side
    328,052.60x = 50,892,889,058.53
  5. Step 5: Solve for x
    x = 50,892,889,058.53/328,052.60
  6. Step 6: Final answer
    x = 155,136.37

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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.