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Finding the Fourth Proportional to 380,688.96, 570,812.08 and 144,049.92

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Solution

The fourth proportional to 380,688.96, 570,812.08 and 144,049.92 is: 215,991.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,688.96 : 570,812.08 = 144,049.92 : x
  2. Step 2: Convert to fraction form
    380,688.96/570,812.08 = 144,049.92/x
  3. Step 3: Cross multiply
    380,688.96x = 570,812.08 × 144,049.92
  4. Step 4: Simplify right side
    380,688.96x = 82,225,434,459.03
  5. Step 5: Solve for x
    x = 82,225,434,459.03/380,688.96
  6. Step 6: Final answer
    x = 215,991.12

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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.