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Finding the Fourth Proportional to 328,406.96, 492,794.93 and 178,657.72

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Solution

The fourth proportional to 328,406.96, 492,794.93 and 178,657.72 is: 268,086.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,406.96 : 492,794.93 = 178,657.72 : x
  2. Step 2: Convert to fraction form
    328,406.96/492,794.93 = 178,657.72/x
  3. Step 3: Cross multiply
    328,406.96x = 492,794.93 × 178,657.72
  4. Step 4: Simplify right side
    328,406.96x = 88,041,617,836.02
  5. Step 5: Solve for x
    x = 88,041,617,836.02/328,406.96
  6. Step 6: Final answer
    x = 268,086.94

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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.