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Finding the Fourth Proportional to 437,300.51, 656,003.31 and 413,385.66

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Solution

The fourth proportional to 437,300.51, 656,003.31 and 413,385.66 is: 620,128.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,300.51 : 656,003.31 = 413,385.66 : x
  2. Step 2: Convert to fraction form
    437,300.51/656,003.31 = 413,385.66/x
  3. Step 3: Cross multiply
    437,300.51x = 656,003.31 × 413,385.66
  4. Step 4: Simplify right side
    437,300.51x = 271,182,361,266.54
  5. Step 5: Solve for x
    x = 271,182,361,266.54/437,300.51
  6. Step 6: Final answer
    x = 620,128.17

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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.