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Finding the Fourth Proportional to 432,493.98, 648,859.32 and 208,042.08

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Solution

The fourth proportional to 432,493.98, 648,859.32 and 208,042.08 is: 312,120.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,493.98 : 648,859.32 = 208,042.08 : x
  2. Step 2: Convert to fraction form
    432,493.98/648,859.32 = 208,042.08/x
  3. Step 3: Cross multiply
    432,493.98x = 648,859.32 × 208,042.08
  4. Step 4: Simplify right side
    432,493.98x = 134,990,042,560.19
  5. Step 5: Solve for x
    x = 134,990,042,560.19/432,493.98
  6. Step 6: Final answer
    x = 312,120.05

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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.