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Finding the Fourth Proportional to 664,520.10, 997,764.30 and 514,929.30

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Solution

The fourth proportional to 664,520.10, 997,764.30 and 514,929.30 is: 773,156.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,520.10 : 997,764.30 = 514,929.30 : x
  2. Step 2: Convert to fraction form
    664,520.10/997,764.30 = 514,929.30/x
  3. Step 3: Cross multiply
    664,520.10x = 997,764.30 × 514,929.30
  4. Step 4: Simplify right side
    664,520.10x = 513,778,072,563.99
  5. Step 5: Solve for x
    x = 513,778,072,563.99/664,520.10
  6. Step 6: Final answer
    x = 773,156.56

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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.