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Finding the Fourth Proportional to 312,369.30, 468,483.75 and 143,727.84

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Solution

The fourth proportional to 312,369.30, 468,483.75 and 143,727.84 is: 215,559.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,369.30 : 468,483.75 = 143,727.84 : x
  2. Step 2: Convert to fraction form
    312,369.30/468,483.75 = 143,727.84/x
  3. Step 3: Cross multiply
    312,369.30x = 468,483.75 × 143,727.84
  4. Step 4: Simplify right side
    312,369.30x = 67,334,157,462.60
  5. Step 5: Solve for x
    x = 67,334,157,462.60/312,369.30
  6. Step 6: Final answer
    x = 215,559.46

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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.