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Finding the Fourth Proportional to 312,287.64, 468,898.02 and 307,622.04

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Solution

The fourth proportional to 312,287.64, 468,898.02 and 307,622.04 is: 461,892.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,287.64 : 468,898.02 = 307,622.04 : x
  2. Step 2: Convert to fraction form
    312,287.64/468,898.02 = 307,622.04/x
  3. Step 3: Cross multiply
    312,287.64x = 468,898.02 × 307,622.04
  4. Step 4: Simplify right side
    312,287.64x = 144,243,365,464.36
  5. Step 5: Solve for x
    x = 144,243,365,464.36/312,287.64
  6. Step 6: Final answer
    x = 461,892.65

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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.