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Finding the Fourth Proportional to 653,912.10, 981,030.15 and 298,851.30

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Solution

The fourth proportional to 653,912.10, 981,030.15 and 298,851.30 is: 448,350.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,912.10 : 981,030.15 = 298,851.30 : x
  2. Step 2: Convert to fraction form
    653,912.10/981,030.15 = 298,851.30/x
  3. Step 3: Cross multiply
    653,912.10x = 981,030.15 × 298,851.30
  4. Step 4: Simplify right side
    653,912.10x = 293,182,135,666.70
  5. Step 5: Solve for x
    x = 293,182,135,666.70/653,912.10
  6. Step 6: Final answer
    x = 448,350.99

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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.