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Finding the Fourth Proportional to 405,857.90, 608,121.95 and 216,116.82

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Solution

The fourth proportional to 405,857.90, 608,121.95 and 216,116.82 is: 323,821.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,857.90 : 608,121.95 = 216,116.82 : x
  2. Step 2: Convert to fraction form
    405,857.90/608,121.95 = 216,116.82/x
  3. Step 3: Cross multiply
    405,857.90x = 608,121.95 × 216,116.82
  4. Step 4: Simplify right side
    405,857.90x = 131,425,380,925.62
  5. Step 5: Solve for x
    x = 131,425,380,925.62/405,857.90
  6. Step 6: Final answer
    x = 323,821.17

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1.5x scale

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.