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Finding the Fourth Proportional to 312,288.64, 468,899.52 and 307,623.04

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Solution

The fourth proportional to 312,288.64, 468,899.52 and 307,623.04 is: 461,894.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,288.64 : 468,899.52 = 307,623.04 : x
  2. Step 2: Convert to fraction form
    312,288.64/468,899.52 = 307,623.04/x
  3. Step 3: Cross multiply
    312,288.64x = 468,899.52 × 307,623.04
  4. Step 4: Simplify right side
    312,288.64x = 144,244,295,796.94
  5. Step 5: Solve for x
    x = 144,244,295,796.94/312,288.64
  6. Step 6: Final answer
    x = 461,894.15

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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.