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Finding the Fourth Proportional to 413,875.50, 620,963.10 and 203,661.06

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Solution

The fourth proportional to 413,875.50, 620,963.10 and 203,661.06 is: 305,565.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,875.50 : 620,963.10 = 203,661.06 : x
  2. Step 2: Convert to fraction form
    413,875.50/620,963.10 = 203,661.06/x
  3. Step 3: Cross multiply
    413,875.50x = 620,963.10 × 203,661.06
  4. Step 4: Simplify right side
    413,875.50x = 126,466,003,166.89
  5. Step 5: Solve for x
    x = 126,466,003,166.89/413,875.50
  6. Step 6: Final answer
    x = 305,565.33

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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.