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Finding the Fourth Proportional to 665,008.30, 997,846.17 and 310,050.10

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Solution

The fourth proportional to 665,008.30, 997,846.17 and 310,050.10 is: 465,230.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,008.30 : 997,846.17 = 310,050.10 : x
  2. Step 2: Convert to fraction form
    665,008.30/997,846.17 = 310,050.10/x
  3. Step 3: Cross multiply
    665,008.30x = 997,846.17 × 310,050.10
  4. Step 4: Simplify right side
    665,008.30x = 309,382,304,793.12
  5. Step 5: Solve for x
    x = 309,382,304,793.12/665,008.30
  6. Step 6: Final answer
    x = 465,230.74

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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.