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Finding the Fourth Proportional to 432,023.70, 648,035.55 and 390,033.30

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Solution

The fourth proportional to 432,023.70, 648,035.55 and 390,033.30 is: 585,049.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,023.70 : 648,035.55 = 390,033.30 : x
  2. Step 2: Convert to fraction form
    432,023.70/648,035.55 = 390,033.30/x
  3. Step 3: Cross multiply
    432,023.70x = 648,035.55 × 390,033.30
  4. Step 4: Simplify right side
    432,023.70x = 252,755,444,083.82
  5. Step 5: Solve for x
    x = 252,755,444,083.82/432,023.70
  6. Step 6: Final answer
    x = 585,049.95

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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.