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Finding the Fourth Proportional to 432,383.04, 648,123.18 and 147,989.82

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Solution

The fourth proportional to 432,383.04, 648,123.18 and 147,989.82 is: 221,830.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,383.04 : 648,123.18 = 147,989.82 : x
  2. Step 2: Convert to fraction form
    432,383.04/648,123.18 = 147,989.82/x
  3. Step 3: Cross multiply
    432,383.04x = 648,123.18 × 147,989.82
  4. Step 4: Simplify right side
    432,383.04x = 95,915,632,746.03
  5. Step 5: Solve for x
    x = 95,915,632,746.03/432,383.04
  6. Step 6: Final answer
    x = 221,830.24

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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.