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Finding the Fourth Proportional to 431,950.48, 648,122.62 and 221,736.16

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Solution

The fourth proportional to 431,950.48, 648,122.62 and 221,736.16 is: 332,705.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,950.48 : 648,122.62 = 221,736.16 : x
  2. Step 2: Convert to fraction form
    431,950.48/648,122.62 = 221,736.16/x
  3. Step 3: Cross multiply
    431,950.48x = 648,122.62 × 221,736.16
  4. Step 4: Simplify right side
    431,950.48x = 143,712,220,967.94
  5. Step 5: Solve for x
    x = 143,712,220,967.94/431,950.48
  6. Step 6: Final answer
    x = 332,705.32

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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.