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Finding the Fourth Proportional to 432,686.21, 648,148.03 and 353,008.13

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Solution

The fourth proportional to 432,686.21, 648,148.03 and 353,008.13 is: 528,793.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,686.21 : 648,148.03 = 353,008.13 : x
  2. Step 2: Convert to fraction form
    432,686.21/648,148.03 = 353,008.13/x
  3. Step 3: Cross multiply
    432,686.21x = 648,148.03 × 353,008.13
  4. Step 4: Simplify right side
    432,686.21x = 228,801,519,910.22
  5. Step 5: Solve for x
    x = 228,801,519,910.22/432,686.21
  6. Step 6: Final answer
    x = 528,793.19

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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.