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Finding the Fourth Proportional to 455,955.90, 684,180.09 and 189,900.06

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Solution

The fourth proportional to 455,955.90, 684,180.09 and 189,900.06 is: 284,952.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,955.90 : 684,180.09 = 189,900.06 : x
  2. Step 2: Convert to fraction form
    455,955.90/684,180.09 = 189,900.06/x
  3. Step 3: Cross multiply
    455,955.90x = 684,180.09 × 189,900.06
  4. Step 4: Simplify right side
    455,955.90x = 129,925,840,141.81
  5. Step 5: Solve for x
    x = 129,925,840,141.81/455,955.90
  6. Step 6: Final answer
    x = 284,952.65

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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.