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Finding the Fourth Proportional to 665,002.65, 997,713.21 and 238,247.64

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Solution

The fourth proportional to 665,002.65, 997,713.21 and 238,247.64 is: 357,446.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,002.65 : 997,713.21 = 238,247.64 : x
  2. Step 2: Convert to fraction form
    665,002.65/997,713.21 = 238,247.64/x
  3. Step 3: Cross multiply
    665,002.65x = 997,713.21 × 238,247.64
  4. Step 4: Simplify right side
    665,002.65x = 237,702,817,679.32
  5. Step 5: Solve for x
    x = 237,702,817,679.32/665,002.65
  6. Step 6: Final answer
    x = 357,446.42

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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.