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Finding the Fourth Proportional to 312,507.48, 468,686.58 and 134,917.32

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Solution

The fourth proportional to 312,507.48, 468,686.58 and 134,917.32 is: 202,343.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,507.48 : 468,686.58 = 134,917.32 : x
  2. Step 2: Convert to fraction form
    312,507.48/468,686.58 = 134,917.32/x
  3. Step 3: Cross multiply
    312,507.48x = 468,686.58 × 134,917.32
  4. Step 4: Simplify right side
    312,507.48x = 63,233,937,293.57
  5. Step 5: Solve for x
    x = 63,233,937,293.57/312,507.48
  6. Step 6: Final answer
    x = 202,343.76

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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.