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Finding the Fourth Proportional to 432,502.90, 648,893.16 and 207,879.62

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Solution

The fourth proportional to 432,502.90, 648,893.16 and 207,879.62 is: 311,886.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,502.90 : 648,893.16 = 207,879.62 : x
  2. Step 2: Convert to fraction form
    432,502.90/648,893.16 = 207,879.62/x
  3. Step 3: Cross multiply
    432,502.90x = 648,893.16 × 207,879.62
  4. Step 4: Simplify right side
    432,502.90x = 134,891,665,923.18
  5. Step 5: Solve for x
    x = 134,891,665,923.18/432,502.90
  6. Step 6: Final answer
    x = 311,886.15

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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.