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Finding the Fourth Proportional to 432,397.85, 648,530.21 and 144,214.56

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Solution

The fourth proportional to 432,397.85, 648,530.21 and 144,214.56 is: 216,299.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,397.85 : 648,530.21 = 144,214.56 : x
  2. Step 2: Convert to fraction form
    432,397.85/648,530.21 = 144,214.56/x
  3. Step 3: Cross multiply
    432,397.85x = 648,530.21 × 144,214.56
  4. Step 4: Simplify right side
    432,397.85x = 93,527,499,242.39
  5. Step 5: Solve for x
    x = 93,527,499,242.39/432,397.85
  6. Step 6: Final answer
    x = 216,299.64

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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.