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Finding the Fourth Proportional to 664,999.30, 997,832.67 and 310,041.10

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Solution

The fourth proportional to 664,999.30, 997,832.67 and 310,041.10 is: 465,217.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,999.30 : 997,832.67 = 310,041.10 : x
  2. Step 2: Convert to fraction form
    664,999.30/997,832.67 = 310,041.10/x
  3. Step 3: Cross multiply
    664,999.30x = 997,832.67 × 310,041.10
  4. Step 4: Simplify right side
    664,999.30x = 309,369,138,622.74
  5. Step 5: Solve for x
    x = 309,369,138,622.74/664,999.30
  6. Step 6: Final answer
    x = 465,217.24

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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.