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Finding the Fourth Proportional to 665,014.30, 997,855.17 and 310,056.10

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Solution

The fourth proportional to 665,014.30, 997,855.17 and 310,056.10 is: 465,239.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,014.30 : 997,855.17 = 310,056.10 : x
  2. Step 2: Convert to fraction form
    665,014.30/997,855.17 = 310,056.10/x
  3. Step 3: Cross multiply
    665,014.30x = 997,855.17 × 310,056.10
  4. Step 4: Simplify right side
    665,014.30x = 309,391,082,375.04
  5. Step 5: Solve for x
    x = 309,391,082,375.04/665,014.30
  6. Step 6: Final answer
    x = 465,239.74

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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.