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Finding the Fourth Proportional to 432,404.81, 648,726.12 and 207,953

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Solution

The fourth proportional to 432,404.81, 648,726.12 and 207,953 is: 311,986.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,404.81 : 648,726.12 = 207,953 : x
  2. Step 2: Convert to fraction form
    432,404.81/648,726.12 = 207,953/x
  3. Step 3: Cross multiply
    432,404.81x = 648,726.12 × 207,953
  4. Step 4: Simplify right side
    432,404.81x = 134,904,542,832.36
  5. Step 5: Solve for x
    x = 134,904,542,832.36/432,404.81
  6. Step 6: Final answer
    x = 311,986.68

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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.