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Finding the Fourth Proportional to 432,081.70, 648,122.55 and 407,587.30

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Solution

The fourth proportional to 432,081.70, 648,122.55 and 407,587.30 is: 611,380.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,081.70 : 648,122.55 = 407,587.30 : x
  2. Step 2: Convert to fraction form
    432,081.70/648,122.55 = 407,587.30/x
  3. Step 3: Cross multiply
    432,081.70x = 648,122.55 × 407,587.30
  4. Step 4: Simplify right side
    432,081.70x = 264,166,520,223.62
  5. Step 5: Solve for x
    x = 264,166,520,223.62/432,081.70
  6. Step 6: Final answer
    x = 611,380.95

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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.