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Finding the Fourth Proportional to 312,419.43, 468,253.53 and 143,707.32

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Solution

The fourth proportional to 312,419.43, 468,253.53 and 143,707.32 is: 215,388.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,419.43 : 468,253.53 = 143,707.32 : x
  2. Step 2: Convert to fraction form
    312,419.43/468,253.53 = 143,707.32/x
  3. Step 3: Cross multiply
    312,419.43x = 468,253.53 × 143,707.32
  4. Step 4: Simplify right side
    312,419.43x = 67,291,459,876.84
  5. Step 5: Solve for x
    x = 67,291,459,876.84/312,419.43
  6. Step 6: Final answer
    x = 215,388.20

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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.