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Finding the Fourth Proportional to 397,530.30, 596,986.65 and 210,906.30

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Solution

The fourth proportional to 397,530.30, 596,986.65 and 210,906.30 is: 316,726.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,530.30 : 596,986.65 = 210,906.30 : x
  2. Step 2: Convert to fraction form
    397,530.30/596,986.65 = 210,906.30/x
  3. Step 3: Cross multiply
    397,530.30x = 596,986.65 × 210,906.30
  4. Step 4: Simplify right side
    397,530.30x = 125,908,245,500.90
  5. Step 5: Solve for x
    x = 125,908,245,500.90/397,530.30
  6. Step 6: Final answer
    x = 316,726.16

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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.