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Finding the Fourth Proportional to 328,051.10, 492,076.65 and 299,020.70

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Solution

The fourth proportional to 328,051.10, 492,076.65 and 299,020.70 is: 448,531.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,051.10 : 492,076.65 = 299,020.70 : x
  2. Step 2: Convert to fraction form
    328,051.10/492,076.65 = 299,020.70/x
  3. Step 3: Cross multiply
    328,051.10x = 492,076.65 × 299,020.70
  4. Step 4: Simplify right side
    328,051.10x = 147,141,104,336.66
  5. Step 5: Solve for x
    x = 147,141,104,336.66/328,051.10
  6. Step 6: Final answer
    x = 448,531.05

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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.