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Finding the Fourth Proportional to 328,038.10, 492,057.15 and 299,007.70

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Solution

The fourth proportional to 328,038.10, 492,057.15 and 299,007.70 is: 448,511.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,038.10 : 492,057.15 = 299,007.70 : x
  2. Step 2: Convert to fraction form
    328,038.10/492,057.15 = 299,007.70/x
  3. Step 3: Cross multiply
    328,038.10x = 492,057.15 × 299,007.70
  4. Step 4: Simplify right side
    328,038.10x = 147,128,876,690.06
  5. Step 5: Solve for x
    x = 147,128,876,690.06/328,038.10
  6. Step 6: Final answer
    x = 448,511.55

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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.