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Finding the Fourth Proportional to 328,690.89, 493,316.10 and 129,150.81

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Solution

The fourth proportional to 328,690.89, 493,316.10 and 129,150.81 is: 193,836.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,690.89 : 493,316.10 = 129,150.81 : x
  2. Step 2: Convert to fraction form
    328,690.89/493,316.10 = 129,150.81/x
  3. Step 3: Cross multiply
    328,690.89x = 493,316.10 × 129,150.81
  4. Step 4: Simplify right side
    328,690.89x = 63,712,173,901.04
  5. Step 5: Solve for x
    x = 63,712,173,901.04/328,690.89
  6. Step 6: Final answer
    x = 193,836.14

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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.