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Finding the Fourth Proportional to 653,107.02, 978,748.17 and 352,940.46

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Solution

The fourth proportional to 653,107.02, 978,748.17 and 352,940.46 is: 528,917.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,107.02 : 978,748.17 = 352,940.46 : x
  2. Step 2: Convert to fraction form
    653,107.02/978,748.17 = 352,940.46/x
  3. Step 3: Cross multiply
    653,107.02x = 978,748.17 × 352,940.46
  4. Step 4: Simplify right side
    653,107.02x = 345,439,829,343.96
  5. Step 5: Solve for x
    x = 345,439,829,343.96/653,107.02
  6. Step 6: Final answer
    x = 528,917.65

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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.