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Finding the Fourth Proportional to 328,444.42, 492,740.34 and 103,817.92

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Solution

The fourth proportional to 328,444.42, 492,740.34 and 103,817.92 is: 155,750.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,444.42 : 492,740.34 = 103,817.92 : x
  2. Step 2: Convert to fraction form
    328,444.42/492,740.34 = 103,817.92/x
  3. Step 3: Cross multiply
    328,444.42x = 492,740.34 × 103,817.92
  4. Step 4: Simplify right side
    328,444.42x = 51,155,277,198.89
  5. Step 5: Solve for x
    x = 51,155,277,198.89/328,444.42
  6. Step 6: Final answer
    x = 155,750.18

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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.