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Finding the Fourth Proportional to 405,909.20, 569,206 and 405,909.20

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Solution

The fourth proportional to 405,909.20, 569,206 and 405,909.20 is: 569,206

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,909.20 : 569,206 = 405,909.20 : x
  2. Step 2: Convert to fraction form
    405,909.20/569,206 = 405,909.20/x
  3. Step 3: Cross multiply
    405,909.20x = 569,206 × 405,909.20
  4. Step 4: Simplify right side
    405,909.20x = 231,045,952,095.20
  5. Step 5: Solve for x
    x = 231,045,952,095.20/405,909.20
  6. Step 6: Final answer
    x = 569,206

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.