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Finding the Fourth Proportional to 664,499.10, 997,732.80 and 514,908.30

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Solution

The fourth proportional to 664,499.10, 997,732.80 and 514,908.30 is: 773,125.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,499.10 : 997,732.80 = 514,908.30 : x
  2. Step 2: Convert to fraction form
    664,499.10/997,732.80 = 514,908.30/x
  3. Step 3: Cross multiply
    664,499.10x = 997,732.80 × 514,908.30
  4. Step 4: Simplify right side
    664,499.10x = 513,740,899,902.24
  5. Step 5: Solve for x
    x = 513,740,899,902.24/664,499.10
  6. Step 6: Final answer
    x = 773,125.05

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1.5x scale

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.